We live in deep rural Missouri.
Last year we had a cat and a pet rabbit dumped on us. I was able to catch the rabbit. It was beautiful and I was able to rehome it but the cat killed at least one, maybe two of my free range roosters that was roosting in the hay loft before I was able to catch it. I was able to rehome it also.
2 of our 6 dogs were dumped on us when they were just puppies 7 weeks old. We never turn away a dog or kitten that shows up on our doorstep. But after losing 1-2 pet roosters to a full grown cat I doubt if I will be as 'understanding' of an adult one should I be able to catch it in my live trap in the future.
Seems like people drive by, say, oh look, these homes look Amish, Amish LOVE animals quick stop and leave it (whatever they don't want) here, it will have a good home.
Truth be told, nope, not all Amish are welcoming to stray animals and not all Amish treat their animals that well. Our other 4 dogs came as rescues from an Amish puppy mill.
I agree. The best way to deal with any 'coon, 'possum or any other wildlife that is preying on your chickens is a quick SSS shoot shovel and shut up. Don't make it somebody else's problem to deal with. We have enough challenges where we live that we don't need any more. Luckily, in Missouri any wild animal that is considered a threat to livestock can be shot on sight with the exception of birds of prey. As the conservation agent I talked to about a fox problem told me, don't try to catch it in a live trap. You can't out fox a fox.
I don't enjoy shooting any varmint that I catch that is a potential threat to my birds but it is something that if you live rural and you keep chickens or any other live stock that you have to learn to deal with.