I found the same thing during late deer season. I actually hope to set up down wind from it and hope to photograph the buggers going to and from. I think they are a beautiful and elusive animal that gets a bad rap. I rather see some yotes thinning out the herd rather than having deer whacked by automobiles. Everything on this earth has a purpose....
That being said I do actually want to harvest one. I hope to take one through calling and tan the hide for my cabin. I agree that their populations should be controlled by harvesting through hunting. I am just against merciless killing of animals being used as scapegoats for ignorant hunters. Fact of the matter is that hunters have way more impact on deer populations than coyotes do. If anyone is witnessing a decline in their deer population, they should first look at how many deer they are harvesting each year or how many permits their state is handing out for that area. I guarantee that if there is a legitimate and/or significant deer decline in their area, it is from overharvesting by hunters and not a few 'yotes. We must take responsibility for our actions to preserve these resources.
Sorry I got off topic. Just have a minority view of coyotes.
My $.02 .