Is there a professional service I can hire to find a suitable doctor, who accepts our insurance, and is taking intro appointments ~1 mo??

I’ve just about had it with the web of complexity that is our health system!! My wife and I have been on Medicaid for two years but without a real PCP. Whenever we stir up the motivation to try to find a doctor, they’re never accepting new patients (even if the system says they are) and those that are won’t book an intro appt for 6+ months. Then there are all these hoops required for doctors in the hospital system, where you have to contact the hospital, get approved by your insurance, then give the hospital a ref# blah blah (looking at you, Overlake). We’re way to busy to waste hours upon hours on this endless loop, I’m just wondering if theres a professional or social service that does this for you, like you can pay someone to file your taxes?? Any help or alternative suggestions appreciated!