Even though coyotes are "pests" they do have a right at least to have a fairly quick, painless death. I would invest in a larger centerfire rifle. A 30 carbine is minimal. I think the most common are 22-250, 243 and 220 swifts. I have killed them with a 22 , but i prefer 30 cals, i killed several hundred with my 303, now have dumped the cash on an all purpose hog, deer , coyote, killing 300 win mag. 30 Carbine again, will do nicely, heh!1 get an SKS , the 7.62 x 39 behind the 22lr, is the cheapest gun you can shot, and they work great on pigs, deer, and coyotes. I think you can pick up a sks for $100.