I have a good friend that has started hunting some of the fishing accesses (MT FWP) around home to fill an extra doe tag or two. He takes a disabled friend with him and all he can legally use is a shotgun due to it's location. He has shot more than a few deer there as has his friend. Last year while he was on foot by himself, a cow elk jumped the fence and walked by him about 100 yds. He got it with one shot. ---legally by the way. He uses a Rem 870 with the rifled barrel and real expensive sabot ammo. It also has a scope on it.
I don't know anybody else that hunts big game with a shotgun, but I am getting old! Not crippled yet!