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I think early muzzleloader season would be a good time for that as well. Lots of places to go where you could ride in behind locked gates. I would guess that the hardest thing will be finding a place where you can camp with a motorhome and hunt right out of camp. I would probably check into the Okanogan area, maybe around Twisp, or Omak. I just think National Forest would be your best bet for camping with horses and an RV.
Elk hunting out of the okanogan area