You'll probably have to learn how to put up the hides. Not many opputunities to sell them in the round. You'll need to learn how to skin them ( the right cuts to make), how to flesh them and how to stretch.
You'll need a fleshing beam, fleshing knife and a stretching board. There are probably some videos out on the process but I'd say watching someone do it is better. I don't see a location but if I knew where you were maybe I could set you up to watch someone take care of a coon at some point.
Selling them, there are a couple international auctions with receiving agents in the state, a handful of furbuyers or some places you could ship out of state.
One last thing, you can't let the dogs chew on them and they aren't worth much before the middle of Nov. or after Feb.