Free: Contests & Raffles.
Relocation is pretty much not an option. Trapping season is just open so maybe someone will volunteer. If not you will have to hire it done by a WCO. Look here for a list of WCOs in your area https://wdfw.wa.gov/species-habitats/living/nuisance-wildlife/wildlife-control-operators.A put up beaver is only worth about $10 so don't be surprised if you have to hire someone.Quite a range of prices so shop around.
If you don't end up working it out, let me know. I handle the nuisance beaver on quite a few farms in the area.