First, let me say it blows my mind that you can't use a real gun on coyotes. That would be a major annoyance for me. But as far as accuracy and deadly, I think a shotgun beats a .22 hands down. A good shotgun is as accurate as a .22, and can be much more deadly. Not to say I haven't used a .22 on everything from rabbits to hogs, but they don't make larger animals drop in their tracks all that often. Even some of the coons I shot around the barn don't drop over immediately. They still kick and wiggle and squirm and sometimes run a little ways.