The 770 is a better buy than a 680 today, the only good reason I could see getting a 680 is because you already have one and want to SLI. The Asus is a very good all around card performance/cooling/noise, they balance out well. Any of the 3 above are great and you could not go wrong with any..
i own 2 gigabyte "windforce" gtx 680s and run them in a tiny case sli and never see the top card over 75c with nearly 100 percent usage. the bottom card usually stays around 65c. this is with about 50 percent fan speed.