I wouldn't use any rimfire on coyote, as that is inhumane to this awesome animal. If you intend to keep the pelt, I wouldn't use anything larger than a .223, and most would argue the .17 Remington is the ideal for this. They recently expanded the season, so you have more time to hunt them. If you are really trying, you might even see one when you are out hunting. I think they have a range of about 4 miles. If you want more info, go check out www.coyotegods.com and look at the forums there.
otherwise:
Looking for a coyote rifle
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.204 VS. .223
Coyotes
Question regarding coyotes
otherwise:
Looking for a coyote rifle
coyote hunters check in here!
.204 VS. .223
Coyotes
Question regarding coyotes