I guess I'm in the minority, as I don't mind coyotes. I think it works the same way as a pond....if there's ample forage,(deer) then the coyotes will prosper. I've never trapped or killed a coyote, and when I'm in the woods, or fishing on the edge of the woods, I don't feel the need to carry a firearm, even though my game cams routinely catch coyotes. I've never felt threatened by them.
But...I can appreciate a good catch. Nice job with the hay set.