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I don't think it's mange either, but whoever suggested run over by a vehicle would get my vote. I've run over the odd coyote and wither they take the hit, or not, that's similar to how they look.
We shoot quite a few with mange every year going back to the 1980's. Some have hair missing along the feet or under belly or just tail or just a small patch.
We saw one this morning that made these ones look like they had Farah Fawcett hair. He had about 1/4 inch of fuzz from his nose to the tip of his tail. No long hair anywhere. Unfortunately he was just inside the no shooting zone around the prison so we couldn't end his misery.