The only way to control coyotes is long term trapping. Coyotes are mostly solitary animals (not like wolves, which form packs with a well defined hierarchy) that mark and defend their territories. When someone says they see packs of coyotes they actually see family groups (the pups will disperse in the fall leaving the original mated pair, or even just one adult in that territory). This is the conundrum. If you trap or shoot out the local animals, you create a vacuum for dispersing coyotes to fill. In areas with these low densities, coyote litter sizes increase significantly, so unless you continue an intensive trapping regime you may actually end up with more coyotes than when you started.
There was an interesting study a few years back that attempted to create a survey method to determine a relative abundance of animals in a given area. What they basically did was put a select number of coyotes in a pen and then used observers at a remote location to determine how many coyotes they thought they heard. The results were surprising. Observers would listen and state that there were 3 to 5 coyotes calling when in actuality there was only one. The animal would howl, yelp, and bark with such a wide variety of sounds that it sounded like an entire pack. When they had multiple animals calling the observers could not determine the number of animals. So, using calling to determine relative abundance does not work. I have several coyotes in and around my house and I listen to them all of the time. What I originally thought was numerous "packs" howling was actually only a handful of animals in the area.