CrunchBang Linux

The link you gave has the two options I knew about.  Those will probably be your only options.  I was able to get a kdrive server running fairly easily under Ubuntu 8.10.  Just keep in mind that while it uses less RAM and loads faster, it is slower and has very little (if any) hardware acceleration.

I would suggest, though, that you use as many terminal apps as possible and even try out elinks, and save the heavy gui web browsing for just when you need it.  Also try out dillo web browser.  It doesn't support css or javascript, but it does show images and is really fast and light.  You may have to build it from source to turn tabs on, but there are guides out there that explain how to do it fairly easily.