A wolf, and the 243 won’t handle one ? Heck I shoot deer, elk, hogs, with a 243 and would have no question about it working great on a wolf, no issue what so ever.My choice for coyotes would be the 22-250 and if I was interested in 6mm, I'd go with 6mm Creedmoor.
I've worn out a couple 243s and recently switched to Creedmoor. The ballistics are similar but reloading seems to be much friendlier and barrel life is claimed to be better.
I use the 6mm because of the chance that a wolf might respond.