Personally, I leave the carcass wrapped up in it. Years ago you could make decent money on coyote pelts (yes, they had to be skinned, fleshed, washed, stretched etc.). My brother and I used to make a little side money trapping after work and on the wekends. But anymore it's just not worth the effort for me. One of these days if I kill a particularly nice one I may skin it with the intention of using it in some kind of mount. Other than that my advive is to snap a photo or two and leave it lay.