I run a trapline. I need 22LR solids. If I shoot a coyote through the lungs with a 22LR hollow point it blows a 1" to 1 1/2" hole out the other side and there is a lot of blood under the hide on the far side that making skinning the yote a PITA. Yotes are a PITA to skin anyway. In any event- if it is summer and the perp has light clothes on- I think a 22 magnum ought to work- not as good for sure as the big stuff but it should be okay. If it is winter and heavy clothes, etc- then go for a head shot. They shoot hogs and gators in the head with 22LR's and they're dead before they hit the ground.
The 22, not just for squirrels