Whats wrong with eating a coyote? Inspect them very close to make sure there is no mange or other issues with it and if all looks good I will skin the and process the meat into jerky. It really taste good. I do this to Jackrabbits as well. I am a firm believer as well to not kill something unless you will eat it (excluding ground squirrels) which I have shot truck loads of and left them for the buzzards and coyotes.