You're hitting the two best courses in Washington State: Chambers Bay and Wine Valley. The drive from one to the other, though, is about 4 hours, and there's not a lot of "must-see" golf in between (unless you're able to access either Aldarra or Tumble Creek). One idea, though, is to skip golf the "in between" day and take the scenic route through Rainier National Park. But if you're wedded to golf, and if can't access the privates, you might also consider playing Gold Mountain (Olympic), which is about 30 minutes North of Chambers Bay. That means you'd have to back track and drive a long way to Walla Walla, but Gold Mountain is easily as good, if not better, than any of the public access courses that others have suggested so far.