I have eaten coon and possum, served in a restaurant! It was in Breaux Bridge IIRC and I was with my father who was a petroleum engineer and it was back in the 50's. Someone from the kitchen who knew my dad as a 'regular', approached our table and told my dad they had a special that wasn't on the menu and it was recommended. Turned out it was coon and possum baked with sweet potatoes and it was really good.
When I was trapping and eliminating beaver for the USFS I discovered that a young one was also very good eating. Just had to be very careful about the scent glands when dressing out.