@mpflood7- Good morning and welcome to Mayo Clinic Connect. Wow, what a fantastic question! And one that everyone should ask. I know that it's scary to go to a hospital, even if it's your one-hundredth time, never mind your first. Consumer Reports have a yearly report of all the top hospitals and their specialties so you might want to check there.
https://www.consumerreports.org/hospitals/HowToChooseAHospital/
I think that when you need to choose a hospital for specialty care it's important to find a teaching hospital. Teaching hospitals develop new and better ways to care for patients through outcomes-based research and the development of new technologies. The downside to this is that you will most likely be working with students along with your doctors. The second thing to look for is location. I'm an hour, by train, to Mass General in New England so I go there. When I had my first lung operation my pulmonologist recommended a young doctor who studied at Harvard who practiced in a local hospital. After he left for MGH to be closer to his home I followed him for my follow-up CT scans and a need for a second lobectomy for my second cancer. He has been my lead doctor for 23 years next month. The difference between hospitals and patient care was incredible.

You are right that ad hoc care doesn't work with patients because there is no real coordinated teamwork and for great care, there needs to be a coordinated effort of care between doctors who do get together in some sort of committee meeting to decide what to present to the patient as their best recommendations for care and survival and life quality. I have an Oncologist who is in charge of my care, a surgeon (who, because of our long term relationship ok's everything lol), a radiologist oncologist, and more for other problems. But my care is essentially coordinated by one doctor.

I think that when insurance companies took over patient care inpatient collaborative care for diagnostic purposes flew out the window. Because doctors who work in the type of system are lined up to work with each other they are selected because of their understandings of each others specialty. I don't think that it would work otherwise, and it's one of the reasons that ad hoc care doesn't work.

When I made my decision to follow my doctor to MGH I made it knowing that it was the best care that I could get and that I could be an out of state patient because I had insurance that paid for it. Have you checked to see if your insurance covers out of state medical care?