vmen has a really nice tip for you (the 670's higher bit rate makes it pretty significantly faster, and the 3770k isn't all that necessary for gaming on this level), and yes that's a great setup (same exact thing I have, actually).
I have the 3770k, but I do 3d modeling so I sorta needed something like it. I also have the p8z77-V pro (similar to yours) and a 660ti 2GB evga stock :P.
SO pretty much I have everything you're looking to get. Works flawlessly for single monitor gaming. Only game that gives me issues at all is Metro 2033. Crysis 2, a heavily modded Crysis, 70 mods in Skyrim (many of which are visual), Starcraft 2, Simcity 5, Battlefield 3, Batman Arkham City, and Borderlands 2 all work flawlessly at a smooth 40-60 FPS with maxed settings. I even game in 3d with this card. You do notice a drop in FPS in most games, but unless you're a videophile like myself it won't really matter to you.
I'm looking to upgrade for a more "future-proof" rig that will last for triple-monitor gaming for the next few years, but the setup you're looking to do will work for single monitor for quite some time
Very nice, and enjoy!