I personally like the idea of using an AR for coyotes. Not all shots are going to be 400 yds. You have a utility rifle you can bang around and not worry about a few scratches here and there. If you are mobile a good part of the time, which farmers and ranchers seem to be, your rifle is going to get beat up.
I know a guy who lives in eastern WA who has a farm. He owns a lot of equipment as he does contract work for other farmers in the Palouse. He's in his tractors a lot or going to or from them. He carries an AR strictly for coyotes. There are a lot of coyotes over there because there are a lot of rabbits, birds and rodents. I used to flush coyotes out of the brush a lot when I hunted over there. On real windy days they can't hear very well.
If you miss a few coyotes here and there it isn't the end of the world.
It's like bird hunting, there are just going to be some that are out of range.