My son and I came home last fall to find a coyote in the lane acting drunk as a skunk, I don't know if it was the latter stage of rabies or not, but it was definitely sick with something. The 12 guage took care of that.
With no natural predetor left on the farm to thin the pack, we have coyotes in spades. We had a friend trap them out 2 years ago but the population is back up again this year. Since Iowa no longer pays a bounty for coyotes and fur becoming less popular even trappers aren't interested in them.
Having seen what a pack can do to a calf, I don't care how tough I think my GSD is, I'd rather shoot or trap coyotes then to send my pet out after them.
On the other hand, it is cool to listen to the coyotes sing.