Heaviest recoil for specifically predators is 12 gauge, 3”, 2 ounce 4 buck loads.
I don’t currently have anything heavier than 308 Win, so I guess that’s as heavy as I get on the rifle side of things. Because everyone knows if a coyote shows up at any kind of hunt, it turns into a coyote hunt! Lol… 308 is more than manageable though.
Had a wood stocked Savage 110 in 30-06 when I was a kid. That thing kicked harder than anything else I ever owned! Called it The Li’l Mule. Put a Bell and Carlson synthetic stock on it and tamed the kick considerably.