I took an elk to Kremmling Wild Game LLC several years back and was happy with the final product. It's not in unit 16 but if you are headed back towards Denver area it should be on your way. They don't have a website but here is address and phone.
Address: 5240 Co Hwy 22, Kremmling, CO 80459
Phone: (970) 724-3759
Looks like your other options in the area would be Elk River Custom Meats in Steamboat or North Park Big Game Processing in Walden.