The Liver Flush Support Forum has some programs to improve digestive health and if you can improve intestinal health and kill some of the harmful bacteria in your upper gut that are pushed up into the stomach the acid problem may clear up. Also do a search for 'Dr. Schultze stomach acids'. People report his remedies are quite efective. One of the results was from a person who had high stomach acids, like you.
I couldn't find it today but Clark treated high stomach acids by using more acids in the form of Betaine-Hcl or hydrochloric acid drops with meals.
For Celiac Disease and other gluten problems it's important to either have the lab tests after following a gluten challange diet or follow a strict gluten free diet for at least 3 months. Many Celiacs findthat most of their problems clear up on a gf diet over time.