Congratulations on the buck. Sometimes them smaller bucks are such good eating, it makes us wonder why we hunt the mossy horns out there so hard. Everyone wants a trophy but no one wants to eat it. Although in all fairness, a friend shot a Pope and Young buck and he stunk when I helped get him out. But he was good eating for some reason. They gave me some steaks off it, and I grilled them with great joy!! Happy eating.
Screwbolts -
Some states do not allow the hunting of coyotes during a deer gun season. Wisconsin is one of those States. While I can sure understand your hatred of coyotes, it would boil down to whether or not one obeys the law, or the will of the land owner. And I am guessing that your Department of Natural Resources do not compensate farmers for animal attacks which I think is so wrong. If the DNR claim the wildlife as under their control, then they should be responsible for their actions.
Coyote
Hunting:
Continuous open season except closed in the northern Wisconsin wolf management zone during the regular gun deer, December antlerless only, and muzzleloader seasons.
For instance, I hunted turkey on a farm in Southern Wisconsin and the land owner told me to shoot any turkey that walked by. If it were a hen then just throw it in the ditch. That man hated turkey. I had a lot of opportunity to shoot hens but refused. I did get my Tom though.