I too agree with the 22mag. however if i was to use the lr, i would use whatever the gun likes best in the accuracy dept and strictly shoot head. I would probably limit myself to 75 yds. Gonna have to be a heck of a hunter to get em that close in though. they aren't called wylie coyotes for nothing. Most of my rimfires really like the wolf match. Cheap and really accurate in multiple guns. If you shoot for the head it doesn't have to be a hp. My guns shoot better with target stuff. Eley, Lapua, followed by the wolf. Find what shoots best and you can easily take head shots. I mean i have killed hogs with 22lr up to 200 pounds. Our WMA around here only let you take what weapon is legal for normal game that is in season at the time so most of us have no choice. Wemhog hunt when a good bit when only squirrel season is in. Dropped many a hog like that. I am sure a coyote would be no different.