Well, I'll give my 2 cents-
Calling coyote here in PA and Maine during the winter is a past time of mine. Killed a fair number. I use mostly a .204, a .223, and a 22/250. I have found lite for caliber bullets work better for me. I use 34 grains in the .204, and 40 grains, including the V-Max, in the .22's. I have found with proper lung / heart shots, they tend to stay inside, and do minimal hide damage. Heavier, more stoutly constructed bullet will some times penetrate thru, causing fur damage. A 40 grain bullet at well over 3000 fps will certainly penetrate the couple of inches it needs to into a coyotes chest cavity to take care of business.
Now bear in mind, most of my shots are at calling range, 50 yards and under, so you may find bullet performance different at 250 / 350 yards. A buddy called last night, and told me about a woman he knows who owns a farm, and the coyotes are scaring her kids because they are howling so much at night, and hanging around the barns. Guess where we are going hunting Friday morning...
I'll be using my CZ .204 with Hornandy 34 grain bullets.
Larry