This german site made a 30-page review about the GTX 770 models from Asus, EVGA, Gigabyte, Inno3D, Palit and MSI.
Even though it's in german, you might want to take a look at the tables on the first page.
Their summary was:
Asus: Solid cooling, but the card's potential was not fully used
EVGA: Very good cooling and noise under high load, but too noisy when idle
Gigabyte: Cheap, very nice cooler (Windforce 3x) and not too noisy. Only negative aspect is that the cooler reaches unecessary high RPM when under load
Inno3D: Fastest card in the test, but loud and rather hot
MSI: Nice features for OC
Palit: Hottest card, 2nd fastest, but very cheap (best performance for the price)
Those are the 2GB versions of the cards, however.
I personally would go for the Gigabyte.