I started my varmint hunting in the 60's with a Savage 24 DL in 22 mag over a 20 ga. It had stamped images of a coyote on one side and a turkey on the other. I thought I had a real hot rod. The only coyotes I ever scored with that gun were with the 20 gauge. The 22 mag made lots of noise but it just wasn't practical for anything bigger than jackrabbits. Bullet drop was much greater than I had expected so I was never able to use it for anything much past 75 yards.

It would appear that you have a better set up but if you're going after coyotes be ready for a quick second shot.