I conducted a FOIA request and they sent me the list. It is current as of 7/7/2024. They redacted all the phone numbers under exemption 6, but the names, emails, and postal addresses are all there. These doctors usually respond quicker/better to email anyway, but if you wanted to call one it shouldn't be too hard to find an office phone number via google once you have the name of a given Dr you'd like to be seen by.
Sad that the common citizen had to make a whole FOIA request just to be allowed to see their options for which doctor to choose to pay to appease a certain authoritarian federal agency, yet here we are...