I've shot quite a few coyotes, and found most calibers would cause quite a bit of damage to the pelts at least some of the time. For awhile used 223, and never found a load/bullet that wouldn't cause damage. 22-250, same but worse. Then tried 17 Fireball, and was really happy with it. Kills em dead, but it is hard to find the bullet hole. Only time you get pass through is at long range. Farthest I ever killed one with it was 427 yards, lazered, and the bullet didn't expand, just cooky cut straight through. Was the only one that ever stepped out of its tracks, ran 23 paces. The Fireball is best within 300 yds, then its incredible. I know semi-professional coyote hunters who sware by 17 Remington, which is an honest 400 yd version. Certainly the bigger calibers can give you more range, but when you shoot a yote at 70yds with it, get ready to do some stitching, which you just don't get with a fast 17. I haven't used a 204, so don't know much about it, but might be a happy medium.