The San Juans will be just about tourist free then. You will have great scenery, interesting small towns, and a bit of history to boot. Spend some time in Roche Harbor then wander down to Friday Harbor. For sure the weather will be chilly and most likely wet but the San Juans will be drier than most other western Washington destinations.

Read up on the Pig War and the McMillan family at Roche harbor. Be sure to hike to the Mcmillan Mausoleum.
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No huevos no pollo.