Ill flat out admit that I have shot a deer in idaho with a 22mag but it was after it was hit by a pickup and I was just putting it down. Is it legal in idaho, no but it did work with one shot. His hind quarter was almost gone and was standing there looking at me so I grabbed the 22mag and put one between the eyes and he dropped like a rock. I also have buddies that have done the same with the hmr's.
Am I saying it would be my first choice, no, but it would work.
I dont know who ever came up with the imaganary word of "Over Gunned"