Bro Keith,
I'd suggest the 62 grain Barnes Varmint grenade. I have not tried them yet myself but am planning on it. They are a frangible bullet that should not exit a coyote but expend all their energy inside the animal while the bullet disintegrates.

Here's what Barnes says about them:
Quote
Expending its energy early, the Varmint Grenade seldom exits large predators like bobcats and coyotes, leaving valuable pelts virtually undamaged.


http://www.barnesbullets.com/products/rifle/varmint-grenade/

Maybe others have had experience with these and can confirm or deny Barnes claims.

We may know the time Ben Carson lied, but does anyone know the time Hillary Clinton told the truth?

Immersing oneself in progressive lieberalism is no different than bathing in the sewage of Hell.