Hmmmm.... I don't know if that's such a great idea. Coyotes are varmints, but a hunter still has a responsibility to make a swift and clean kill, part of that is using a weapon proportionate to the animal's size. Right behind the ear at 22yds? Sounds like you made a good shot, but I'd still discourage this. To each his own, I reckon, as long as it's legal, but something about this doesn't hit me right. I'd almost consider a .22 to be somewhat small for a coyote.
Out of curiosity, do you know the bullet weight of your pellets?