Once upon a time we had our own little 'coon... of course, the mess it made pooping on things and digging through everything made it neccessary to get rid of it, as is the usual case. At the time, we were living in Ontario, and we ended up giving it to a small scale zoo or animal rehab thinger... I can't remember the name (I was pretty young at the time) But I do know it was in Wendover. It was awhile ago, so I can't say if the place still exists, and I don't know how close you are to Wendover... But perhaps giving it to a place like that could be an option?
I know the chances are slim, as they are common animals and it's true they're considered vermin.. but if it's too domesticated to be released into the wild, it may be something to look at.