Go to U Ship. They take bids. Bringing a used 22 from Wa, is sort of backward-most folks by a boat on the East Coast and then have it trailered to WA.
It probably will run in the $1 to $2 a mile--somewhere in the $2,000 to $3,000 at a minus. Be sure that the hauler is bonded and insured. Be sure that your insurance company is also covering the insurance on the boat being transported. Check on references for the hauler.