I'm on good private insurance in the USA right now and on a 3 month waiting list after calling 35 specialists and taking the only one who was even accepting pat

I'm on good private insurance in the USA right now and on a 3 month waiting list after calling 35 specialists and taking the only one who was even accepting patients with an under 6 month wait. I'm on Aetna, a huge health insurance company here and when I call a specialist my first question is "Do you accept Aetna?" because I only have a 30% chance that they do. The only way to speed up the process would have been to pay cash to a specialist who doesn't accept any insurance, which would be a $350 consultation then $250-350/hr each visit after the fact.