Originally from Seattle...
Newcastle is my favorite. Make sure you play the Coal Creek to get the views. It's incredible in every possible way. Washington National is also excellent. Gold Mountain is good, but either an hour ferry ride or a 2 hour drive from Seattle. I haven't played Chambers Bay, but I've heard it's incredible. It's about an hour south of Seattle. Any of the Oki courses are good, but Newcastle and Washington National are the best. If you want a cheap round, check out West Seattle. Great muni with incredible views. Here's some more info:
http://www.washingtonnational.com
http://www.newcastlegolf.com