C.T.
Not in Burien but close, I second the recommendation for the doctors at Pacific Gynecology. They're there 7 days a week with very early hours which was great for my schedule at the time (6 years ago). My daughter just turned 5 and w/o Pacific Gynecology she wouldn't be here at all.
Best of luck! Keep the faith I know it's hard.
Also, in Bothell there's a church called Cedar Park Assembly they do a service the last Sunday of January specifically for couples struggling for infertility. It's an interfaith service. They have everyone there, Christian, Muslim, etc. It's called Presentation Sunday.
We conceived 11 weeks after our second such service. When we went back for prayer for our adoption we found our son w/n 8 months of the service and brought him home 9 months later.
You may see us there this year. We go now as a testimony as both of our children are Presentation Sunday babies.