@miliangy First, let me welcome you to Connect. I see that you did post within a different group and I hope you can get some answers from one of your postings. I have nothing to help you with, none of this is familiar to me at all. I do have Barrett's Esophagus but your problems are totally different yet both have GERD components. Oddly, I never actually felt GERD but apparently it generally precedes Barrett's.
I just want you to know that your post is being read and I hope that someone who reads it will know something that can help to lead you in the right direction.

My only comment is, are the doctors you are seeing associated with a major medical center? I had non-alcoholic cirrhosis and went undiagnosed for almost a year and half here in the Manchester area of southern NH. When I finally did get it diagnosed I had to go to Boston for treatment and an eventual liver transplant. If you have not been to a major medical center, preferably a teaching hospital -- my hospital is Mass General in Boston -- then please go even if it is inconvenient. They see so much more than the doctors do in smaller areas. I now know that if I ever have a problem again that is not immediately diagnosed up here, I will be headed down the highway to Boston. I pretty much go to Boston now for everything except my PCP.
If you do get an appointment with a doctor at a major medical center I hope you will post about it. The fact that you have not had responses really is indicative of the rarity of your problem.
JK