The .204 is a great round for coyotes, expecially if you reload and get away from the fragile Ballistic tipped bullets like V-max and Blitz Kings. Put either the 35 or the 40 gr. Berger into a coyote and it does the trick. No having to avoid shoulder, matter of fact, aim for the shoulder and it'll anchor them where they stand when hit. The 40 gr. Bergers will pass through from time to time, the 35's never or very rarely do.
I call coyotes to me, so my average shot is probably under 100 yards, but I wouldn't hesitate to shoot one at 300 yards and have actually killed just a couple beyond that.