Made a few trips to Texas years ago, night hunting preds and pigs. 2 of the trips involved a 223AI twisted 8.
I set it up with Barnes 62gr TSX for saving fur and killing pigs at the same time. Worked really well on fur,especially bobcats. Pigs it would shoot through a shoulder and into the opposite one or into the neck on angled shots and sometimes exit. I recovered a bullet on a full frontal hit on a coyote and the bullet was just inside the hide at the base of the tail ! I've broke down whitetail deer a couple times here in Michigan , never had to look for one when shot with the TSX.
That said , I always thought a fast twist 22-250 or now a 22 creed loaded with the 55-62 gr TSX/TTSX would be a stone cold killer.
I'd have no worries about shooting a coyote in the forward facing eyes via the rearward eye ,with anything I mentioned at 300.
There are some custom copper bullets that may even be better these day.