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Probably a 580/590.
2105 here.
FWIW, in BF3 multiplayer, my 560 rarely sees 100 percent load normally its around 80ish. My i3's load is almost always above 95 percent. To be fair, this is at 1280 x 1024.
If you want feedback for a purchasing decision, if you wait until tomorrow, I'll be able to tell you how it performs at 1080 with both a 560 as well as a 560 ti 448.
Though if you're going to be upgrading the CPU anyway, just buy the graphics card you want, and deal with the i3 bottleneck. Its what I'm doing.