Hurley0816,
There are worse options, still would prefer a military surplus FMJ if you can find em. If you go with a core lock I would go with a heavier bullet like a 180-grain managed recoil, (reduced velocity) designed for elk. Between the slower velocity and the thicker jacket you will probably not see much expansion on the first coyote. Though if you line up 4 coyotes in a row, the last one would certainly look worse than the first.

Just for chits and giggles you may want to ask your taxidermist how much stitching they are accustom to working with.