770 4GB Surround Performance?

That's a good card, but also a huge amount of resolution to push. I run two 770's and I can get 50+ fps on most games at 2560x1600 on high-ultra settings, so I would expect about 65% of that performance with one card on my monitor. On three 1080p monitors, it would likely be closer to 50% of that performance.
 

Is there another card you would recommend? SLI 770s? 780? SLI 780s? What card(s) will net me 60 fps in Surround?
 
You'll probably be ok with two 770's, but it also depends heavily on what games you're playing. For example, the only game I don't maintain 60 fps at max settings is Far Cry 3, and that's mainly due to 8x AA (a known GPU killer). Also games like Rift are very heavily CPU based (plus not using the best game engine to boot) so it's tough to get more than 45ish frames on that one.

Ultimately, I'm a stickler for higher settings, so I could easily do some minor tweaks in any game and get crazy frame rates. It's about what you're comfortable with in terms of settings.