Around here, we have a problem with wild dogs. Morons from the city seem to think it's O.K. to dump their unwanted pets off out in the country. You have to go to the one of the "bigger" towns to get a part time animal control officer or drive 50 mi. to find a full time animal shelter.
If they a big enough that the coyotes don't kill them, they run together. If you shoot one, odds are about even as to whether it will be a pure blood coyote or a coydog. So, if they don't have tags and aren't with their owners, they're history. I shoot a dozen or so each year and so does the game warden for this area (actually, he shoots quite a few more).