Since you already have a nice short action medium bore, maybe step down to a mini action rifle. I used to cull coyotes for money in my youth. I had a night permit. There was a lot of walking in the winter. I used a lever action 22 mag. with a red dot. It was quite easy to run through five-seven bullets in seconds.
Brownells has howa barreled actions in 6.5 grendel with 20 inch barrels. Drop one of those into a bell and carlson stock, and you'd be quick on the long shot, or multiples up close.
