I'd suggest getting further east, out of the thicker timber, to get to a more target rich environment for varmints. CleElm is still in the mountain feline type country, coyotes there, but harder to get. I've done well in the Desert Unit in the past on Coyotes, but it's getting heavily hunted. I'd still choose it over the NF though. Sagebrush is better than Timber for dogs!
Grouse in the timber, but like you said, snow makes access on wheels much tougher.
Bunnies in either place.