Closer to the water the less likely snow.

Fly into SeaTac and take A loop from Seattle Hurricane Ridge to Crescent Lake, a hike in the temperate Hoh rain forest, the rugged beaches at Kalaloch, Ruby Beach and Moclips and a flyby through Aberdeen where Kurt Cobain was from (and a cool Star Wars store there) would give you the flavor of the Olympic National park (one of 3 located within 100 miles from Seattle).