I seldom ever go predator hunting. Have shot coyote's with my old 308, an old 7mm Rem Mag, 7x57, 6.5x06, 25-06, and a 243. They all have something in common, place the bullet right and the coyote dies! I some times think about getting another 222 Rem but I don't hunt varmints that much either. The 243 I have today was bought with one thing in mind, coyotes! But never carried it coyote hunting. Got a 75gr V-Max load worked up in it that shoots great! probably as close as I'll ever get to shooting a coyote with it. I think the problem is unless I'm really down for some reason, coyotes simply look to much like a dog to me! I love dogs, all dogs! I suspect if I though I could really tame a wolf, I'd get one! That 243 I have is a Mossberg Patriot. Main reason I got it was it was inexpensive and I'm pretty tight! Figured if I had something like that I might take up coyote hunting, dog keeps getting in the way!
Would really like to have a Rem 788 in 222 Rem again. It was great shooting ground squirrels years ago with! Probably the most accurate rifle I ever owned!