The Kimber is a very good choice on a really nice Rifle/Gun,and the .204 Caliber is going to do very well on taking down Coyotes,Bobcats and Foxes and not do as much damage on their Hides/Pelts!
I answered Your other question on which Caliber to choose from so I'm kinda adding to this Post too!
I would also check out the CZ-USA Model 527 Rifles,the Savage Light Weight Hunter Rifles in I'm thinking Model 11,111 or 25?The Coopers would be great but very pricey to say the least.....Remington Varmint Rifles are sweet looking too!