LOL about the govt trappers. I know a gov't trapper who is hands down one of the best trappers i've ever met. Any time he makes a post, you learn something valuable from it. But the other people in his dept are morons. LOL. It depends a whole lot, on how good your gov't trapper is. But if you call the DNR, most will be able to give you a name of a trapper who is a private trapper in your area. Most pivate trappers will trap for free if coyote season is open the the pelts are good (about nov.-jan) in most areas.
Or you could learn how to trap yourself. Go to trapperman.com for more trapping information then you'd ever be able to digest, LOL. Coyote trapping requires a degree of skill, but anyone can trap a coon, skunk or possum. (for those three predators, buy a cage trap for about $30, and bait it with a can of tuna fish if cats arent a problem, or jelly or marshmellows if cats are). Then just dispatch the animal in the cage.
gila, I'd like to respectfully disagree on your theory that coyotes kill with the intention of later eating it. We did a damage control job on coyotes last winter. A sheep farmer called us with a problem of sheep killings. We eventually took eight coyotes out of that field. Here's what was going on. First night, there were 2 sheep killed. The choice parts of each were aten. The following night, while those two dead sheep still lay in the field, they came back and killed another one. Why kill another when the first two were still there? Because, although coyotes WILL eat old nasty meat when nothing else is available, they much prefer fresh meat. I have no doubt the coyotes would of killed every sheep in that flock of a hundred or so, before they would of ever touched the ones already dead. Then, once they were out of fresh meat, thy would of moved on to the other. But that first night, did they kill 2 sheep instead of one so they could come back and eat the other? No, because they didnt. They killed a third. And later, a 4th and 5th before we finally managed to remove all the killer sheep.
Its also pretty much universally believed in the trapping field, that some coyotes are lvestock killers, while others are not, or at least, have not yet become so. I think every coyote has the potential to be a killer, but perhaps opportunity has not yet presented itself. One thing I do know, is this... If a family group of coyotes are killing, say, two adult coyotes and 4 young of the year, and you remove the 4 young and the male but the adult female remains (adult females are most often the most difficult killers to trap) and she goes on to mate again, it is almost guaranteed that her new litter of pups will be killers also, because that is what she teaches them to do.
I truly believe that while coyotes do often eat what they kill, they also kill for sport. I dont think coyotes are capable of thinking and reasoning as far into the future as would be necessary for your theory. I do believe coyotes have some degree of reasoning (and my trapping colleagues always give me heck for believing so) but I dont think that in the heat of the moment of the kill, they're thinking "hey, we can eat this beggar for lunch next thursday." They kill because they enjoy it.
This is all just my opinion, with a few facts sprinkled in.
Angela