Interesting comment. Obviously, if he is actively big game hunting, that is illegal. The loaded weapon falls under the 2nd Amendment. There are no restrictions in Wyoming, NF, NP or wilderness, heck anywhere in Wyoming, less specifics like Federal Buildings, that citizens are not allowed to carry loaded weapons. I carried a loaded rifle across a mile or so of Teton Park, to get closer to a bison on NF.
Now packing in past NF, where he can legally hunt, into the wilderness, setting up a camp with license and the means to hunt in hand, could be considered prima facie evidence and might buy him a ticket. Of course that doesn't mean it will stick.
Why he would do that is beyond me. Not only would it put them under suspicion by residents and outfitters in the area, but the warden won't buy it. Why screw up a highly anticipated hunt with such a ridiculous idea?