I've been shooting coyote for a good number of years now where I skin , scrape the hides to sell on the fur auctions here in Ontario.
The coyote here grows a nice thick winter coat thats fairly desirable on the markets . The .22mag is what I've used very successfully without the damage to the pelt and 100yd shots are normal distance.
The 243 is used alot by other "yote hunters , again 100yd shots , but I tell them to skin their own pelts with the big rip in them ...lol.