I’d suggest a 12/16 guage pump shotgun with buckshot. It will have the range to take out the coyote and not carry like a rifle. Also makes good home defense, which is a significant issue.
The most inaccurate rifle I have every owned. I sold it and bought an AR-15.
However, I would use a Remington 710 with a scope, in a 30:06 caliber. A 200 yard shot would be easy and it will drop the coyote instantly. A 300 yard shot might take some practice.
The 223 round is hands down the best here in Wyoming it is the round for varmits. The Ruger Mini 14 for the money is the best choice it is cheaper than the AR 15 and more reliable and because it was a favorite for law enforcement has a strong aftermarket following as in light mounts laser sights etc. Spend some time with a good gunsmith/dealer and you will have a combination that will send the survivors to a safer part of the county like the home owned by a Democrat
Put a decent scope on this baby and pick them off at a distance.
Also works well for prarie dogs and looters.