Here's the calibers I use, 300 yards or less 223, out to 400 yards a 22-250, from 400 yards on I use my bull barrel 243.
I have a coyote hunting buddy that killed one a while back at a little over 460yards with a bull barrel 220 swift.
I don't know about anywhere else but here in our neck of the woods the coyotes seem to have a strong tenacity for living.
I shot one with a 22-250 about a 1/4 mile out, did not dupe the wind right and hit him a little further back then I intended.
He took off at a run, dragging his guts across a frozen bean stubble field, crossed two fences and 3/4 of a mile later I caught up with him.
He was alive but exhausted, I finished what I started.
Best Regards
Bob Hunter
www.huntercustoms.com