Trapping will accomplish your reduction goals faster than calling and shooting. I have a deal with a meat processor to pick up their scraps. It costs them to put it in a dumpster, so they are always willing. I secure the meat and bones to the ground in an area where I can put out snares. I wait for them to leave trails and keep baiting the spot. Once I have a good trail, I put out a snare or two on the trail and like magic, I always have a coyote in the snare the next day. I keep baiting and putting out snares until I no longer have fresh tracks. I have cleaned out my hunting areas of coyotes using this method in Minnesota.