Forget the Judge. If you want one of those trail guns that shoots shotgun shells go with the S&W Governor. You get another round, and a better overall gun.
Realistically though, if you are going to do some handgun hunting stick with one of the 6+" barreled Rugers or S&Ws.
I'd suggest Ruger because they make guns built to take anything thrown at them. I've seen some loads (for the .44 mag) that are hotter ones that suggest only using them in a non-Ruger gun sparingly.
S&W also makes a good gun. Both have good CS departments so if you do have a problem it will be dealt with appropriately. That's the good thing about going with those two companies. Peace of mind.