I hunt Wyoming every year and I doubt that a Game Warden will want to see you carrying any type of a rifle during an archery only season and your attempt to claim that it's for self defense purposes. I'm assuming the OP is talking the grizzly laden units over on the west side of the state around Yellowstone/Cody on down a little south and well southeast of Jackson. I would have bear spray on my hip as a first defense because it covers a bigger area to stop one than a bullet that needs to be placed perfectly and that's hard to do in a full charge situation. If you want a weapon, IMHO it should be a revolver and at least a 44 magnum in potency.