Chip,
From the airport to Bellevue, there is really only one course worthwhile that comes into play and that is Coal Creek at NewCastle. It is a Bob Cupp course, with fantastic views of the mountains and the Seattle/Bellevue skylines. It is a great winter course in that it is one of the best draining courses around. There are two courses at Newcastle, neither of them are great but there are some very good golf holes there (and some downright goofy ones also. It was a very difficult property with about 350 feet of elevation change and built on a construction landfill. Its also pricey and is very much a CCFAD.
The best courses in Seattle area are private or not actually in Seattle. The best public course is the Olympic Course at Gold Mtn and is a short ferry boat ride away in Gorse/Bremerton. The course will hold the 2006 Men's Publinks. Also in that area is Trophy Lake by John Fought. Both of these courses are new and drain well.
I'm sure you'll notice I mentioned drainage alot.
This time of year, drainage is very important because of the weather from Nov - May and many of the older courses do not drain well.