I have sucessfully missed coyotes at 600 yrds with my .223.! First lair don`t stand a chance.
Coyotes are tough. I put a double lung shot on 1 that left a 3 1/2 in. hole on the back side and it still ran 150 yrds. You can kill them as far as you can place the bullet in the vitals, but be prepared to track them if you want the hide.