I've hunted coyotes with every 22 caliber and for the past ten years have used only a 204. The 204 has out performed everything for preventing fur damage. I use 40 gr. Vmax and shot placement is still key for a quick kill and no damage. Almost all my shots are less than 150 yds and it's a pleasure not to have an exit hole to sew up.
That's good info right there. One reason my buddy prefers using the 22 WMR. If you are only shooting out to "150 yards", you'd get by very well even with one of those. A 204 if far more capable than just 150 yard shooting. I was killing whistle pigs yesterday at over 400 with my new 204, and that was with cheap azzed factory ammo.. I would not hesitate to poke a yote at 600 yards with a 204..
