I love to hunt coyotes. Coyotes are scavengers and are always looking for an easy meal. What I would do, is try to call them in with either a distress call of some type (rabbit, bird, even a hurt pup distress) using an electronic caller. There are even a few apps you can download to your phone you could try. Give it a few nights and set up in a spot where you see them regularly. The .40 would work in close range, but I prefer a 12ga with extra full choke (I use a choke called Dead Coyote and a 3" no. 4 buckshot). This will extend your range out to 50yrds. If you happen to kill a few, coyotes that live through it are smart enough to learn where danger is and avoid those areas.

Good Luck