A bit of searching shows that your card is based off the Atmel AT76C503A chipset, which has a Linux driver!
The reason some distros identify it and some don't is because some come with the Atmel driver out of the box, while others don't. Just build and install this driver and you should be good.
A very simple solution to these small issues is to just google your brand and model number with "linux" at the end of your search. It saves everyone (including you) time, frustration, and a lot of other things. All I searched for was "belkin F5D6050 linux", and bam, lots of hits.