Municipal code is municipal code. I can walk out my back door, not being in city limits, and discharge a firearm. However, in South Euclid, a suburb in which I own a few homes, I can't do so, unless I'm defending myself ... and that's not against a raccoon, skunk, or squirrel.
However, I do know that I can dispatch a caged coon. Drowning is legal. However, I have a spring loaded device, if I can get the coon to look at me, in one of the areas wherein the cage gaps are large enough, I can place that, against a vermin's head ... and it's a few kicks, writhing, and a dispatched coon.