Noodlearms, do you need to have a referral to see a rheumatologist? Does your insurance require one from your PCP? If so, your insurance company should have a policy that allows you to request a second opinion. It is your right.
If you don't need a referral, then go to the following link and chose Washington and you will see the list of cities with rheumies. There are many in Spokane and but there are some closer, Pasco, Richland, Yakima.
Find a rheumatologist through the American Academy of Rheumatologists Directory