I agree with the hotwire definitely! As far as relocation goes, don't do it. If that coon ever finds his/her way back. You will have a very tough animal to trap again! It may also become a problem for someone else! I understand compassion for animals and I do my best not to do anything more than I have to do for flock protection by predator elimination. I use hotwire with good success, though, a determined raccoon with a "taste" of fresh chicken already on his breath my find ways around it. I know you don't want to kill it but, death is not unnatural and many times is the best course of action.
Good luck and I hope you can get this resolved without any more losses to your flock!
Good luck and I hope you can get this resolved without any more losses to your flock!