A couple of my favorite coyote busters are this .17 HMR( new toy ) for close in work and the .243 for all other distances. The .17 has taken a handful of coyotes thus far and the .243 has taken hundreds.

The .17 is a Savage with a 6-18 x 50 Bushnell Banner Scope and a Rifle Basix trigger.
The .243 is a Remington 700 VS in a Choate Stock and is wearing a 6.5 - 20 x 50 Leupold Long Range scope. It shoots 55 grain ballistic silvertips at just over 4000 fps.

Greg