If you are just shooting them to be shooting them,hell yes a slug will work.If you are shooting them for the fur then it will still work but you will need some needles and alot of thread.If you want a close in rifle and you are keeping the fur I would use a .22wmr,at longer ranges (75 yards +)any of the .22 center fires will work.If you have done much skinning a head shot coyote is not fun to skin.Well any head shot fur bearer is hard to skin with its head bones broken.Being humane is the key,if we are going to kill them aleast make it quick.