Dropping $50 for a decent PCI card now would be your best bet, as you wouldn't need another one until you upgrade to a newer computer.
I will recommend this -- http://www.newegg.com/Product/Product.aspx?Item=N82E16814187042
If you are looking to only play The Sims 3, this one is $31 after MIR.http://www.newegg.com/Product/Product.aspx?Item=N82E16814130477
Edit: It seems like the last two 8200's that were shipped were DOA, you may have to RMA it for a working one, but this usually isn't the case.
The 6200 will play on medium settings at best.