I'd guess about 10 in the current climate regime. I would say maybe 15 for the last 100 year average. SEA averaged 15.2" between 1945 and 1975. The Puget Sound area in general (areas near the Sound itself) averaged around 25" in the 1880 to 1900 period.
Yea as a general rule of thumb in King County I would say anywhere east of HWY 18 and East of Issaquah generally does better. In North King County I would say being east of Lake Sammaish and HWY 203 in Carnation is preferable.
All of those locations are above 500 feet and closer to the mountains.
I think one of the most bothersome things about this weather pattern is the way the days just bleed into each other. One drippy day becomes exactly identical to the previous and the next. You almost lose track of time.