Some good advice, some bad.
I use a 22-250. As stated it's very similar to the .220 swift. I have ZERO exits using medium handloads and 50 Gr. V-max bullets. Shoot em in the chest, go pick em up. Full metal are no-no's for hunting. Too many runners and to many ricochets. Use very fragile bullets and you won't have any troubles with holes
.243's and bigger usually blow a coyote up good and leave big holes.
.223: See the same as 22-250. Just not as much range as the 250 but if you're hunting in the woods it won't matter. Great caliber for yotes. Ver little damage.
.357 should be great. You'll have an exit everytime but the hole shouldn't be big even if you are using HP's
IMHO, Rimfires are too small for yote.
Shotguns: I've never shot a yote with one but know many who do. 12 ga are great. Stay away from shot shells (like #4 shot, save it for pheasant) and big buck (like 00 buck, to few pellets). Copper plated BB's and #4 BUCK are the old stand-by's. New coyote loads like "Dead Coyote" are the best. About 50-55 yards max using 3" Dead Coyote from what I hear.
Go to
http://www.predatormastersforums.com/ubbthreads/ubbthreads.php
Great Site with great info. It's where the pro's and manufactures of hand and electric calls hang out (FoxPro, Johnny Stewart, Manaska, Etc). Might as well go to the best when looking for info on this subject.
LK