Well we had three dogs in elk camp this year for the entire muzzy season.
I saw several camps with dogs.
I would crate the dog. I have taken my dog on several outings.
Good crate training.
Just don't take him out with you while hunting.

WAC 232-12-242): Hunting wild
animals (except rabbits and hares) with dogs (hounds) during the months of October or November during the dates established for modern firearm deer
or elk general seasons in eastern and western Washington
(RCW 77 15 240): Allowing a dog, owned or controlled by you, to pursue or injure deer or elk or to accompany you while you are hunting deer or elk is prohibited
(WAC 232-12-242): Hunting or pursuing any big game animal, bobcat, or coyote with dogs is prohibited, except cougar hunting as permitted by the Fish and Wildlife Commission