I'm skeptical of the .22 lr for coyotes. Granted, it was winter when coats are thicker (but that's the only time I've shot coyotes). I know I made good hits on the shoulders, but nothing stopped them. After my pal shot them and killed them we found the .22 bullets tangled up in the fur -- pretty effective armor the fur turned out to be. A 223 or similar would be an effective killing round for 'yotes.
Cogito, ergo armatum sum