Tree, It is only the human animal that thinks things "Go to waste" in nature.
I personally haven't seen a coyote rug that appealed to me. I prefer to have fox and coyotes tanned and just hung on a hook on the wall. I do like some full mounts that I've seen and have one with a full mount wolf in the display as well.
I skin them out for my clients and they usually get a pair mounted in a display and tann the rest for hanging.
I used to ship to the auctions, but never really enjoyed the experience
Now I get them tanned and sell them at shows, or on the "net"
I do some nuisance control so I occassionally get some that have a summer coat and soem I kill have mange. I leave them lie. They go back into the system.