I have been messing around with Go pros for a while now and in my opinion the black is your best option. None of them are that great in low light since you cant adjust shutter speed and that stuff but i have found that the black is substantially better than the rest. It also has faster frames per second when shooting 1080p. Will help see the arrow better in the video. However it is pretty tuff to see the shot out past 25yards because of the fish eye lens and no zoom.
Also if i were you i would mount it directly on the bow wearing it on your head can get kind of clumsy and can get in the way. The link is to a company that makes mounting products for the go pro and they work pretty well. I have the bow and the shot gun mount and i love them.