Depending on the size of the operation, many clinics already have a person. But they aren't usually interested in getting the insurer to approve a procedure/medication/etc. Usually they just handle filling the paperwork to get them to pay what they're already going to.
The insurers (intentionally?) make it difficult for everybody involved, not just the patient.
As for your plan, it gets really difficult in reality. Sure, there are just a handful of insurance companies. But many large employers have their custom plan within that company, with different criteria for what gets covered. At best, there are some general guidelines you can follow when you get denied.
I just saw a post about requesting things like the name, license number, and specialty of the doctor that made the determination to deny a procedure. But these are only half measures, at best.
Depending on the nature of your clinic, it might be more helpful to have travel brochures for countries that are good for medical tourism.