I have a coyote problem.

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Live in Westminster and coyotes are snacking on neighborhood dogs. My beagles were freaking out last night at the fence. Behind the chain link fence is a dry ditch. . Neighbors dog became coyote dinner. There are several that are taking dogs from yards. Fences don't seem to keep the yotes out of the yards. I can't shoot them. Too loud and the area is not safe to be shooting a rifle or handgun. I do have a high power 177 cal nitro piston air gun, but that's probably not going to do much to the coyote.
Any suggestions on coyote repellent ? Would a 22cal high power air gun be useful? I would buy one.