GTX 570 or HD 6950 for dual monitor 1920x1080 ?

I mostly use my PC for work and gaming. I want to get 60+ FPS in games like SWTOR, Skyrim and preferably run them with High/Ultra settings; my new setup is going to be something like Intel i7-960, ASRock x58 Extreme ATX 6 DIMM (24GB), 12 GB RAM Corsair, OCZ Revo 3 PCIe 120GB SSD. I'm getting 2 x 24" Samsung Syncmaster monitors, and will run those at 1920x1080.

I haven't decided on the graphic card and I narrowed it down to 3 choices (and I don't want to overclock them):
- Palit Geforce GTX 570, 1280MB, PCI-Express
- Sapphire HD 6970 2GB GDDR5 PCI-Express
- Gainward GeForce GTX 560 Ti Phantom, 2GB GDDR5

Which of these 3 graphic cards will perform best with my dual monitor configuration? I'd also prefer something a bit more silent, so I'm a bit inclined to the GTX 570.

Ideally I'd be able to run a game on full-window mode (with high settings) and the 2nd monitor with browser, iTunes.

I would go for the 6970 I hear those are quiet.