I have had daily chest pain for fifty years. As a young woman, I had swine flu, pleurisy, empyema, collapsed lung, surgery, drainage tubes, etc. The main surgical cut was like that of a thoracotomy, but no ribs removed. The pain can be sharp, throbbing, aching, all kinds. So I certainly understand what you are describing. It can be overwhelming!
I will just share my experience which was to treat the pain and the fear. For the first, I use PT (conventional and alternative), medication, exercise, twice daily hot baths, pain patches and creams, and will try anything I think might help. For the fear, I've used hypnosis, psychotherapy, meditation, journaling, and a calm lifestyle. I know this sounds like a lot, but I don't do it all at once! Basically I had to give up notions of diagnosis, cure, or overall sympathy from doctors (although I have had several very compassionate ones). Also, and this is difficult, I've worked on my fear of death (at 71 it might be easier or timelier than when I was younger).
It seems from what you wrote, if I understand it correctly, that the medical profession cannot find one physical cause for what is causing the pain. Can you accept that, or do you have a strong feeling otherwise that you still need to investigate the cause? Have you experimented with what makes you feel better? My life's journey took a turn for the better when a rehab MD told me: I don't know what is wrong but I think I know what might help. Once I could lower the physical and emotional pain my life became much more livable. I'll just add this in to your thinking. Of course a visit to Mayo could be very helpful. Sending you encouragement!