Do you think I'll need any extra fans? Running the 7770
More fans never hurt (if there's even a place for them in that case), but a 7770 doesn't really run all that hot. The CPU is the thing to worry about, but as long as you don't OC much (which you can easily do with the 965BE BTW), it'll be ok, too.
Edit: FAIL on my part. Of course there will be a place for extra fans in the case you picked out, AND you can use the original Asus 970 board I recommended in it too. I confused myself thinking that you were still using the Acer case....