Free: Contests & Raffles.
A one gun battery for the state of Washington. Look no further than the 30-06, maybe in a Tikka T3 lite would be a good inexpensive gun that won't break the bank but would be very durable. That or the same caliber in a Ruger all weather.
Get a bolt action 30-06 and a 3-9x40 scope.
Something I just thought of, I am not sure if you hunt a lot of public lands, but if you do you will want a gun/caliber with a lot of "drop" factor. As washington regs state the last person to put a bullet through an animal gets to keep the animal (it does not state that the animal needs to be alive or dead while this happens).
I am kind of surprised nobody jumped on the whole "Drop factor" and marginaly place shots comment..