There was another thread
related to that card; don't know if he ever got it working properly though. I would imagine you could do it with any distro you like, provided you can get ahold of the driver module. One of the more customizable distros like Slackware is probably more likely to lend itself to being installed on that hardware, especially given that there's no CD-Rom drive. You will in all likelihood have to install a minimal distro like SmallLinux
in order to get going, though; since you have no CD-Rom, you could get one of those running and then do a network install. Slackware could probably be installed via a huge pile of floppies, but a network install might be easier.
I had a similar experience
that may help to guide you along in the process, if you can follow my ramblings
With 8MB of RAM and 500MB hard drive, you'll even be able to install a fairly full suite of programs, and a GUI if you are so inclined.