Shader 3.0 support aside, the FX5200 Ultra/FX5600 might also be a bit faster than the 6200.
They're a bit faster in games up to DX8, though I believe they do fall behind in DX9 stuff. OTOH, I don't really think DX9 performance or SM3.0 support is really an issue in this case anyway, since an old sub-1ghz PIII isn't going to run those sorts of games worth a shit no matter what video card is in it.
And yeah, the FX5600 can be a bit difficult to find, since they weren't that popular when they were new. FX5200s and 5500s are pretty common, though a lot of 'em are the gimped 64-bit versions which you should absolutely avoid.
Also, is there some particular reason it has to be an Nvidia card? Because the Radeon 9600 is pretty easy to find and would be a good alternative to the FX-series.