You sound like you know what you are doing, but my attempt was at sarcasm. 99% of reporters think that AR means ‘Assault Rifle’ (it means Armalite Rifle), and that anything over a 7 bullet magazine is a ‘army clip’. Anything with a bump stock is a machine gun, etc. I suggest that if you shoot a coyote that you cut his head off and leave it on a fence post where they migrate. It seems to discourage the pack.
I would suggest checking your states game laws. While it may be lawful to kill predators on your own property with no license it may be unlawful to display the carcass as it is written in Kansas. Leave it lay on the ground along the fence line but not hung.