Evolt
Great suggestion! Thanks.
I've since tried Netscape 4.07 and Opera 3.62, both of which I got from there. Unfortunately Netscape gives a General Protection Fault (the Windows 3.x version of a bluescreen).
Opera seems to be ok so far. It will even mostly render TechRepublic. The drawback to it is that it is only a 30 day trial. Even though the new versions of Opera are free, this one still wants to be purchased and registered.