Find a clinic that does a fair amount of evals and therapy for whatever your populations of specialty are. Craft a very BRIEF, bullet point email, letter, poster, etc and get it to the office manager and director, and ask them if they'd kindly share with relevant clinicians (include what insurance you take). Maybe the success of that approach may depend on your target patient population, but I have yet to find a psychiatrist in my metro area that is at least reasonably familiar with developmental disabilities, child in general, movement disorders, sleep disorders, gerontology, and/or ADHD that doesn't have a long long long waitlist (except maybe for those that don't take any insurance at all). We have an internal list of people we refer to who specialize in x,y,z as do many of the other psychology clinics I am aware of, and I copy-paste the relevant ones and contact info into my report recommendations and when we get contacted by private practice or other services of various types in the area that seem like they are familiar with the same populations we tend to see, they absolutely get put on a list internally. I've had some private practice providers try to set up real-life or zoom meetings with me or other clinical admin, but that very rarely works; you might be able to set up a brief meeting with resources/referral specialists at clinics if they have them.
