Install RedHat (further just RH) Linux on the box. Make sure shadow and MD5 passwords are enabled. And have a nice long root password! Refer to corresponding installation guides.
RH Linux was and is *really* buggy out of the box (both local and remote exploits are discovered every day, see BugTRAQ database), and many software packages installed by default can be used to obtain root shell from non-privileged account or in the worst cases across the network (or just mess up the box). Thus special attention should be given to package selection on the browser workstation.
Partitions mount points and sizes used for a test system:
Filesystem           1k-blocks      Used Available Use% Mounted on
/dev/hda1              1571528    184184   1307512  12% /
/dev/hda7               300603       309    284773   0% /home
/dev/hda6               300603        20    285062   0% /tmp
/dev/hda5               809556      4640    763792   1% /var
MAKEDEV-2.5.2-1
SysVinit-2.78-5
X11R6-contrib-3.3.2-11
XFree86-100dpi-fonts-3.3.6-20
XFree86-3.3.6-20
XFree86-75dpi-fonts-3.3.6-20
XFree86-S3-3.3.6-20
XFree86-SVGA-3.3.6-20
XFree86-VGA16-3.3.6-20
XFree86-libs-3.3.6-20
XFree86-xfs-3.3.6-20
Xconfigurator-4.3.5-1
apmd-3.0final-2
ash-0.2-20
at-3.1.7-14
audiofile-0.1.9-3
authconfig-3.0.3-1
basesystem-6.0-4
bash-1.14.7-22
bc-1.05a-5
bdflush-1.5-11
binutils-2.9.5.0.22-6
bzip2-0.9.5d-2
chkconfig-1.1.2-1
chkfontpath-1.7-2
console-tools-19990829-10
cracklib-2.7-5
cracklib-dicts-2.7-5
crontabs-1.7-7
dev-2.7.18-3
diffutils-2.7-17
e2fsprogs-1.18-5
ed-0.2-13
eject-2.0.2-4
etcskel-2.3-1
file-3.28-2
filesystem-1.3.5-1
fileutils-4.0-21
findutils-4.1-34
freetype-1.3.1-5
gawk-3.0.4-2
gd-1.3-6
gdbm-1.8.0-3
getty_ps-2.0.7j-9
glib-1.2.6-3
glib10-1.0.6-6
glibc-2.1.3-15
gmp-2.0.2-13
gpm-1.18.1-7
grep-2.4-3
groff-1.15-8
gtk+-1.2.6-7
gzip-1.2.4a-2
hdparm-3.6-4
imlib-1.9.7-3
indexhtml-6.2-1
info-4.0-5
initscripts-5.00-1
iputils-20000121-2
isapnptools-1.21b-1
kbdconfig-1.9.2.4-1
kernel-2.2.14-5.0
kernel-utils-2.2.14-5.0
krb5-configs-1.1.1-9
krb5-libs-1.1.1-9
kudzu-0.36-2
ld.so-1.9.5-13
ldconfig-1.9.5-16
less-346-2
libc-5.3.12-31
libgr-2.0.13-23
libgr-progs-2.0.13-23
libjpeg-6b-10
libpng-1.0.5-3
libstdc++-2.9.0-30
libtermcap-2.0.8-20
libtiff-3.5.4-5
libungif-4.1.0-4
libxml-1.8.6-2
lilo-0.21-15
logrotate-3.3.2-1
losetup-2.10f-1
mailcap-2.0.6-1
man-1.5h1-1
mingetty-0.9.4-11
mkbootdisk-1.2.5-3
mkinitrd-2.4.1-2
mktemp-1.5-2
modutils-2.3.9-6
mount-2.10f-1
mouseconfig-4.4-1
ncompress-4.2.4-15
ncurses-5.0-11
net-tools-1.54-4
netscape-common-4.72-6
netscape-navigator-4.72-6
newt-0.50.8-2
ntsysv-1.1.2-1
pam-0.72-6
passwd-0.64.1-1
pciutils-2.1.5-2
popt-1.5-0.48
procps-2.0.6-5
psmisc-19-2
pwdb-0.61-0
raidtools-0.90-6
rdate-1.0-1
readline-2.2.1-6
redhat-logos-1.1.0-2
redhat-release-6.2-1
rootfiles-5.2-5
rpm-3.0.4-0.48
rpmfind-1.4-3
rxvt-2.6.1-8
sash-3.4-2
sed-3.02-6
setup-2.1.8-1
setuptool-1.2-5
sh-utils-2.0-5
shadow-utils-19990827-10
slang-1.2.2-5
slocate-2.1-2
stat-1.5-12
sysklogd-1.3.31-16
tar-1.13.17-3
tcl-8.0.5-35
tcp_wrappers-7.6-10
termcap-10.2.7-9
textutils-2.0a-2
time-1.7-9
timeconfig-3.0.3-2
tmpwatch-2.2-1
utempter-0.5.2-2
util-linux-2.10f-7
vixie-cron-3.0.1-40
which-2.9-2
words-2-12
xinitrc-2.9-1
xpm-3.4k-2
zlib-1.1.3-6
Install ssh-server RPM for remote administration. Do NOT use inetd daemon mode, make sshd run standalone and use /etc/hosts.allow for access control (ssh daemon will read the file upon startup)
Make sure you create a boot floppy using a mkbootdisk command as errors in LILO configuration might render the system unbootable.
Make the following modifications to configuration files
#
# inittab       This file describes how the INIT process should set up
#               the system in a certain run-level.
#
# Author:       Miquel van Smoorenburg, <miquels@drinkel.nl.mugnet.org>
#               Modified for RHS Linux by Marc Ewing and Donnie Barnes
#--fixed by anton for browser station
# Default runlevel. The runlevels used by RHS are:
#   0 - halt (Do NOT set initdefault to this)
#   1 - Single user mode
#   2 - Multiuser, without NFS (The same as 3, if you do not have networking)
#   3 - Full multiuser mode
#   4 - unused
#  --anton--
#   4 - browser X
#   5 - X11
#   6 - reboot (Do NOT set initdefault to this)
# 
#id:3:initdefault:
#--anton: default runlevel now 4! other levels protected by LILO password
id:4:initdefault:
# System initialization.
si::sysinit:/etc/rc.d/rc.sysinit
l0:0:wait:/etc/rc.d/rc 0
l1:1:wait:/etc/rc.d/rc 1
l2:2:wait:/etc/rc.d/rc 2
l3:3:wait:/etc/rc.d/rc 3
l4:4:wait:/etc/rc.d/rc 4
l5:5:wait:/etc/rc.d/rc 5
l6:6:wait:/etc/rc.d/rc 6
# Things to run in every runlevel.
ud::once:/sbin/update
# Trap CTRL-ALT-DELETE 
#anton -- not here, disable
#ca::ctrlaltdel:/sbin/shutdown -t3 -r now
# When our UPS tells us power has failed, assume we have a few minutes
# of power left.  Schedule a shutdown for 2 minutes from now.
# This does, of course, assume you have powerd installed and your
# UPS connected and working correctly.  
pf::powerfail:/sbin/shutdown -f -h +2 "Power Failure; System Shutting Down"
# If power was restored before the shutdown kicked in, cancel it.
pr:12345:powerokwait:/sbin/shutdown -c "Power Restored; Shutdown Cancelled"
# Run gettys in standard runlevels
1:2345:respawn:/sbin/mingetty tty1
#--anton -- only one is needed! comment out the rest
#2:2345:respawn:/sbin/mingetty tty2
#3:2345:respawn:/sbin/mingetty tty3
#4:2345:respawn:/sbin/mingetty tty4
#5:2345:respawn:/sbin/mingetty tty5
#6:2345:respawn:/sbin/mingetty tty6
# Run xdm in runlevel 5
# xdm is now a separate service
x:5:respawn:/etc/X11/prefdm -nodaemon
#=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-
/dev/hda1               /                       ext2    defaults,ro 1 1
/dev/hda7               /home                   ext2    defaults,nodev,noexec,nosuid 1 2
/dev/hda6               /tmp                    ext2    defaults,nodev,noexec,nosuid 1 2
/dev/hda5               /var                    ext2    defaults,nodev,noexec,nosuid 1 2
#=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-
#/dev/cdrom              /mnt/cdrom              iso9660 noauto,owner,ro 0 0
#/dev/fd0                /mnt/floppy             auto    noauto,owner    0 0
#=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-
none                    /proc                   proc    defaults        0 0
none                    /dev/pts                devpts  gid=5,mode=620  0 0
/dev/hda8               swap                    swap    defaults        0 0
#=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-
Making /home read-only might be good idea too as no netscape is not supposed to write anything while running.
Create file xbrowser in /etc/rc.d/init.d and symlink
(cd /etc/rc.d/rc4.d ; ln -s /etc/rc.d/init.d/xbrowser S99xbrowser)it as
S99xbrowser in /etc/rc.d/rc4.d
so that directory  /etc/rc.d/rc4.d looks like this
  drwxrwxrwx    2 root    root        4096 Sep 10 15:30 .
  drwxrwxrwx   10 root    root        4096 Sep 10 15:30 ..
  lrwxrwxrwx    1 root    root        1179 Sep 10 15:30 S05kudzu-> ../init.d/kudzu
  lrwxrwxrwx    1 root    root        5094 Sep 10 15:30 S10network-> ../init.d/network
  lrwxrwxrwx    1 root    root        1367 Sep 10 15:30 S16apmd-> ../init.d/apmd
  lrwxrwxrwx    1 root    root        1542 Sep 10 15:30 S20random-> ../init.d/random
  lrwxrwxrwx    1 root    root        3217 Sep 10 15:30 S25netfs-> ../init.d/netfs
  lrwxrwxrwx    1 root    root        1024 Sep 10 15:30 S30syslog-> ../init.d/syslog
  lrwxrwxrwx    1 root    root         989 Sep 10 15:30 S40atd-> ../init.d/atd
  lrwxrwxrwx    1 root    root        1031 Sep 10 15:30 S40crond-> ../init.d/crond
  lrwxrwxrwx    1 root    root        1203 Sep 10 15:30 S75keytable-> ../init.d/keytable
  lrwxrwxrwx    1 root    root        1261 Sep 10 15:30 S85gpm-> ../init.d/gpm
  lrwxrwxrwx    1 root    root        1956 Sep 10 15:30 S90xfs-> ../init.d/xfs
  lrwxrwxrwx    1 root    root         650 Sep 10 15:30 S99xbrowser-> ../init.d/xbrowser
xbrowser file looks like this
#!/bin/bash
# --anton: Init the box into X with browser, no login script
echo "Starting standalone browser....."
#put a mark into log
echo %%%%%%Reboot%%%%% >> /var/log/xlog
#this file marks X startrup using out xinitrc
touch /tmp/startOK
#--main loop, indefinite with the presence of /tmp/startOK file ------------------
while [ -f /tmp/startOK ] ; do
#put a mark into log
echo %%%%%%Restart%%%%% >> /var/log/xlog
#kill stuck netscape if any (this doesnt help if it turn zombie)
killall -9 netscape >& /dev/null
#clear netscape lock
if [ -f ~netscape/.netscape/lock ]; then
 /bin/rm ~netscape/.netscape/lock
fi
#start X windows, no winman, using the config that starts only netscape
#config is in root home dir!!
#X server runs as root, sort of BAD
/usr/X11R6/bin/xinit /root/.xinitrc -- /usr/X11R6/bin/X bc
done
#main loop end-------------------------------
# Disables packet forwarding
net.ipv4.ip_forward = 0
# Enables source route verification
net.ipv4.conf.all.rp_filter = 1
# Disables automatic defragmentation (needed for masquerading, LVS)
net.ipv4.ip_always_defrag = 0
# Disables the magic-sysrq key
#--anton: this IS important
kernel.sysrq = 0
Make changes to /etc/X11/XF86Config that was automatically created during install to look have those in:
# File generated by XConfigurator.
...whatever...
# **********************************************************************
# Server flags section.
# **********************************************************************
Section "ServerFlags"
    # Uncomment this to cause a core dump at the spot where a signal is 
    # received.  This may leave the console in an unusable state, but may
    # provide a better stack trace in the core dump to aid in debugging
    #NoTrapSignals
    # Uncomment this to disable the <Ctrl><Alt><BS> server abort sequence
    # This allows clients to receive this key event.
#--anton -- no X server kill
#--another option is to have a kill as a means to fight broken/stuck netscape,
#--restart will bring it back after cleanup
    DontZap
    # Uncomment this to disable the <Crtl><Alt><KP_+>/<KP_-> mode switching
    # sequences.  This allows clients to receive these key events.
#--anton -- kinda bad too
    DontZoom
EndSection
...whatever...
Make sure that /root/.xinitrc looks like
/bin/rm -f ~netscape/.netscape/lock >& /dev/null
#--anton: otherwise non-root netscape cant run
#--anton  only allow local but from all users
#--anton  the name of test box was "afc" thus the line below
xhost +afc
#--anton:starts netscape as user "netscape" and full screen!!
#make sure 1024x768 matches your monitor
su netscape -c "netscape -no-about-splash -geometry 1024x768+0+0"
#---------------TESTING---------------------------
#these commands were used in testing to set netscpae preferences
#same as having "netscape" uiser home dir writable for this user
#export HOME=/home/netscape
#netscape -no-about-splash -geometry 1024x768+0+0 >& /tmp/LOG
#---------------TESTING---------------------------
#also needed: X as user "guest" eventually
Create user netscape, his home directory will be /home/netscape.
Start netscape and apply a restricted settings as:
Do chown to root on /home/netscape (by chown -R root.root /home/netscape).
Make sure that his home directory belongs to root, there are no world-writable
files and subdirectories  there and permission are at least
/home/netscape/:
total 9
drwxr-xr-x    4 root     root         1024 Sep  7 18:29 .
drwxr-xr-x    4 root     root         1024 Sep  7 18:30 ..
-rw-r--r--    1 root     root           16 Sep  7 18:29 .bash_history
-rw-r--r--    1 root     root           24 Sep  5 08:21 .bash_logout
-rw-r--r--    1 root     root          230 Sep  5 08:21 .bash_profile
-rw-r--r--    1 root     root          124 Sep  5 08:21 .bashrc
-rw-r--r--    1 root     root           93 Sep  7 18:25 .mailcap
-rw-r--r--    1 root     root            0 Sep  7 18:25 .mime.types
drwxr-xr-x    4 root     root         1024 Sep 10 08:38 .netscape
drwxr--r--    2 root     root         1024 Sep  6 00:04 .xauth
/home/netscape/.netscape:
total 264
drwxr-xr-x    4 root     root         1024 Sep 10 08:38 .
drwxr-xr-x    4 root     root         1024 Sep  7 18:29 ..
drwxr--r--    2 root     root         1024 Sep  6 00:04 archive
-rw-------    1 root     root        14757 Sep  7 18:38 bookmarks.html
drwxr--r--    3 root     root         1024 Sep  7 18:24 cache
-rw-r--r--    1 root     root       188416 Sep  6 00:05 cert7.db
-rw-r--r--    1 root     root        16384 Sep  7 18:30 history.dat
-rw-r--r--    1 root     root          111 Sep  7 16:20 history.list
-rw-r--r--    1 root     root        16384 Sep  6 00:05 key3.db
-rw-r--r--    1 root     root            0 Sep  6 00:04 nswrapper.copy_defs
-rw-r--r--    1 root     root          279 Sep 10 08:38 plugin-list
-rw-r--r--    1 root     root         3398 Sep  7 18:29 preferences.js
-rw-r--r--    1 root     root          741 Sep  7 18:29 registry
-rw-r--r--    1 root     root        16384 Sep  7 18:29 secmodule.db
Carefully test netscape functionality upon doing the chown to root! At present, I have not found a way to avoid periodic Netscape complaints about "Can't write preferences".
Another note is appropriate. Netscape is VERY buggy (last example is Red Hat Linux Security Advisory presents a way to crash and exploit netscape using a specially crafted JPEG image) and is likely to crash periodically, possibly producing a buffer overflow with shell access for the intruder. This shell will have the netscape user as owner. Thus the absence of xterm and rxvt on the system is absolutely crucial as it provides another line of defense. Permission on the system should also be set very conservatively (no world-writable files). Ideally, NO files should be owned by user "netscape" on the system AT ALL (do a find / -user netscape command to confirm this, also check for world writable files with find / -perm -2 ! -type l -ls).
Modify /etc/lilo.conf
boot=/dev/hda
map=/boot/map
install=/boot/boot.b
prompt
timeout=50
default=linux
image=/boot/vmlinuz-2.2.14-5.0
        label=linux
        read-only
        root=/dev/hda1
        restricted
That implies using stock RH 6.2 kernel. Kernel upgrade to 2.2.16 might be a good idea as some bugs were found in early 2.2.14 kernels (low risk).
REMOVE /usr/X11R6/bin/xterm xterm executable COMPLETELY! This is REALLY IMPORTANT as shell will be much harder to obtain in this case. Make sure its clone, rxvt, is not installed! Ideally, all programs that can spawn a shell should be removed.
Some physical security
Some final touches (nice but not essential for system functionality)