I’m not sure what state/area you’re in, since it’s not in your profile.
Is there an Amish community somewhere nearby? Obviously they don’t advertise on Craig’s list or Facebook, they
Can be a bit hard to find, but I’ve had them process birds for me for years. They do it so cheap it doesn’t even make sense for me to do it myself. Take them the birds and a cooler and pick up the cooler the next day.
It might be worth a google search or looking at the bulletin board at likely gas stations. Or, if you add a location to your profile, someone here may be able to give you a recommendation.