I'd suggest either the .357 Magnum or the .44 Magnum if you will be buying ammunition. Both of these have piles of factory loads, and, both of these have a fully compatible Lite round for revolvers, the .38 Special and the .44 Special respectively, that is somewhat cheaper and much milder shooting, giving even more versatility.
If you want to emphasize more self defense and range use, I'd get the .357 of these two. It's cheaper and more pleasant to shoot, and shot-to-shot recovery time being better, is more effective for self defense as well. With a longer barreled revolver and the proper hot and heavy loads, it can be used for CXP2 class game too.
If you want to emphasize hunting more, I'd get the .44 - it will have similar ballistics, but will make a fatter hole than the .357, giving more on-target effects for deer, and in particular black bear.
For a range and hunting gun, and especially in a .44 Magnum, I'd get a 6" barrel steel gun. For the .357, the 6" will still be better for range, hunting, and home defense, but a 4" barrel will have more holster options, and be viable as a carry gun as well.