Well I'll be damned. It used to be in there, I swear on that. This one is on me for not keeping up with it in years. You can find sites quoting 10-12-105 (2)(b) with the inclusion of the hunting clause.
I just did a quick search since I knew it was in there (apparently was instead of the more important 'is') and LexisNexis is slower than dirt. I should have known better. I'll keep looking in case it is somewhere else. Going to edit my previous post to stop the spread of probably incorrect information.
I agree with your point about legal hunting methods for large game. My hunters safety instructor, many moons ago, warned about carrying any pistol while big game hunting... might be considered improper means. Used to be legal (or unenforced) to have a pistol as a finishing round, but that is a big no-no these days. I leave the ccw gun in the hunting shack and just bring the rifle when big game hunting. For birds, I don't worry so much.