Best GPU That Doesn't Require PCIe Power

Hello!

So, I'm getting a hand-me-down computer from my sister. The specs aren't the best, but it'll be much better to game on it than on my laptop (MBP that gets HOT!). The relevant specs:

Intel Pentium Duo E5200 (2.5ghz OC'ed to 2.6ghz)
Foxconn 45GMX 945G
PQI 2GB DDR2 800
Linkworld 430 Watt PSU

There are two things I need to consider:
1) The mobo has a PCIe 1.1 x16 slot (NOT PCIe 2.0)
2) The PSU has no PCIe power cables

So, what's the FASTEST video card I can put in there that won't be too fast for the PCIe 1.1 x16 slot and that requires NO extra PCIe power?

Thanks!