Anything in your hand when you see a coyote is a good coyote rifle. My favorite coyote cartriges:
3rd-any flat shooting deer rifle.
There are a lot of great factory rifles out there that can shoot better than most people are capable of. For the more skilled marksman you can spent a lot of money for a custom rifle
and a lot of time for precision ammo and you will get better accuracy. However for what I consider practical hunting situations that isn't really necessary.
I think that the Savage 11/111 is a lot of rifle for the money and would be towards the top of my list. Another consideration is that sometimes just having an inexpensive beater rifle that stays in the truck may get you more dogs just cause you have it when you need it rather than that beauty of a safe queen that you are afraid to scratch up and just sits at home.
At least that has been my experience. I finally bought my dream varmint rifle last year. Fancy, beautiful, and expensive. When I pick up that $1k+ beauty to go hunting, I consider the bumps, dust, and bruises that will likely happen as I crawl over lava rock and through the sage with her. Then I put it back in the safe and pick up my hammered old 243.