Have you been tested for h pylori? I wonder if your battling some type of bad bacteria thats creating harmful metabolites---ammonia etc..? Could be coupled with some yeast overgrowth?
Stomach erosion sounds like h pylori? Pylori can interefere with acid production because of the ammonia it produces.
Carb free diet didnt help.....maybe excess ammonia production/bad metabolites from bad bacteria?
Just throwing a few things out there. I would get tested for h pylori/ bad bacteria.
How long on antibiotics? Might have some yeast overgrowth if on antibiotics too long. Antibiotics can cause a world of problems.
I'm not a doctor but just tossing a few ideas around.
Possibility of pathogens producing harmful metabolites. I did find black seed oil to do a good job of inhibiting candida/pathogens. I'm still experimenting with it allthough. Have you tried sodium bicarbonate for the burning? This might give some temporary relief.