I have several 17's, all in the 17 Remington. Finest caliber I've ever owned. Out to 250yds. wind drift isn't that noticeable to me over other calibers. The draw back to the 17 Rem. is the terrible factory loads, so if you don't reload it might not be for you. The 17 Fireball is a super caliber with a little more factory offerings, but you'll be much better off reloading for it also. The 17 Fireball and 17 Hornet are great Fox/Bobcat calibers, with the ability to down Coyotes at shorter ranges. Say out to 200yds., but with the Fireball able to extend a bit farther. If I was honing in on mostly Fox, I would go with the 17 Hornet. It is based off of the 17 AH, which is one of the finest Fox calibers going. Now when I say Fox/Bobcat/Coyote calibers, I'm meaning Pelt friendly. If you are looking to just kill Coyotes, then go as big as you can stand to shoot.
If you reload, then the 17 Rem. is the best of the lot. It can be loaded down to equal the 17 Fireball and if it will stabilize 30gr. bullets, then the sky is the limit so to speak. There is something rather magical about that little round. I've been shooting one since 1971 and if you haven't figured it out, I love that caliber.
One word of caution concerning the 17's. They require well placed hits. Stay off of bone like the shoulders of a Coyote and it will put them down every bit as fast as any other caliber.
And another caution, they are very addictive. I hear that the 17-204 is extremely addictive and a super Coyote killer. Something about a 30gr. bullet traveling around 4200 fps and around 180,000rpm (or there abouts) that just floors a Coyote without an exit hole.