I haven't hunted for many years. But when I did, there was a small, local grocery store in Winthrop, WA, where the butcher would process folks deer at night after close. He charged to $100 to cut steaks & roasts, grind the rest with some beef tallow, and wrap everything nicely in white butcher paper. Then it would be waiting for you the next day, frozen, in a cardboard box. (As I said, this was some time ago, 1980's-90's.)
That caused me to wonder how many places like this are left where you can get game processed? We had a small butcher shop outside of Edmonds, WA that would do this too, but he closed down at least 30 years ago.