If the fur is good, I consider it my duty to skin the animal out. This is my trapping background coming through, I guess. I believe in fully utilizing to your best what you kill. With the high prices yotes are bringing, why not skin them out? I understand some guys hunt in spring and summer to protect rancher's livestock and for sport, and that the fur is no good, but if shot in season I think the animal should be utilized. I sell the hide as well as the skull, and use the anus, etc, for trapping lure. Yesterday, NAFA had a fur auction-top lot yotes brought $140. If you live west of the Mississippi you should be able to get a $20-30 or better per animal average, with $50-60 for nice specimens. That buys quite a few calls! LOL
If shot in between the beginning of October and the first half of February, I would skin. If you are further south, the dates would change, of course. Their are quite a few good sites on the net showing skinning, as well as books. Good luck.