Total dumbass to shoot at sound and not fully identify the target. I have a minimum of 4 coyote packs within a half-mile of my house that I can identify by where they are howling from. I have no interest in taking them out because there are too many houses on the acreages around here. The coyotes are just part of the package, IMO.
I have the same situation at my house. Besides, the coyotes along with the owls, keep the pack rats under control.
Bow and arrow...my friend.