I've gotten lazy with my .243. I load the 85-grain Sierra HPBT for all-around use. I called in a coyote, one night, for a buddy who was using my rifle.
About the time I said, "Don't shoot him in the guts!", he did. Pretty much blew that poor dog in half. On a rockchuck, I guess you'd rename the little critter, "Red Cloud".
A .223 will wreck a coyote quite nicely. Even a bad hit will anchor him, and even a bolt-action will let you quickly get in the second shot.
FWIW, I bought a nearly-new Ruger 77 Mk II with scope and sling for $400. Replaced the tort-liability trigger with a Timney, did a little re-bedding, and am getting groups under 1/2", with garden-variety ammo.
I'm just too cheap to pay the kind of money folks want for these black plastic fantastics which really oughta sell for around $200.
FWIW, Art