California has a list of the doctors for each plan right on the Covered California site. It takes under a minute to check is a doctor is on a certain plan. Also we were not assigned a doctor. We can go to any one of thousands of doctors in the network. I don't think assigned doctors are a requirement of the ACA.
Your post had me curious so I checked out the exchange for Washington state. It has detailed plan comparisons as well as doctor look ups. Did your wife use the plan at
www.wahealthplanfinder.org?
I don't know where you live so I just used an Oak Harbor zip code on Whidbey Island. I found 27 different plans to choose from three different providers.
I am not sure where this no plan information available, lucky to get a plan or doctor assigned to you, or any of that is coming from. Your state exchange site looks very similar to the California exchange site with a wide variety of choices of plans and doctors available and easy to see and compare online. Have you looked at the
www.wahealthplanfinder.org site?