You admit that your methods aren't working, yet you poo poo any suggestions your trained medical people have asked you to do. Trying what they ask for a time or two is not giving things a chance. Two weeks would be minimum to even begin to say you gave a recommendation a chance. IMO.
Your burning esophagus is from reflux isn't it? Then get with a gastroenterologist and take what ever medicine you have to to stop that. If you can't get that medicine down because it hurts to much to swallow it, then get with a compounding pharmacy and see if they can provide that in a better form for you.
However there is also a good chance if the reflux has been going on for a long time that the valve between your stomach and esophagus is damaged or just doesn't close tightly. There are surgeries for that. But a doctor that sees you as not willing to do what they ask for a time aren't going to want to mess with you.
I'm not as big on the idea your immediate issues will be cured by changing your colon's biological makeup. In the long run that might be a thing to consider. But the heartburn needs to be fixed first.