Ive shot all the hand guns you have mentioned.
The .44 is by far the best all purpose choice for hand gun shooting/hunting.
The .460 is ok, if you use the 454 Casull loads, and arent shooting too much.
The .480, Im not sure really what I think about it. Id have to shoot it again.
The .500 is way too much over kill and is a gun you shoot once and put down. (Will never shoot again)

In my opinion the best choice would be a .44 or a .454 You really dont need anythign bigger than that in the US.