Since a coyote rarely will eat another dead coyote, I don't know if even a pig would eat a coyote. I know I'd have to be on my death bed before I'd even concider eating a coyotes, and even then if I didn't have a bunch of BBQ sauce, I'd choose death first.[8D]
Your winter coyotes pelts won'tbe worth much in AZ, but I'm sure there is still a market for them. The better the pelt, the more it's worth. If you don't get something out of them, then you can think of it in terms of what the other wild life in your are gets frm the dead coyotes, and that is life. Shoot a coyote, save a antelope/deer fawn!