Are you drinking during a meal? One cause of acid reflux is actually too little acid. Actually in most cases its too weak actually. I found Kombucha, with its acidity, I could drink around meals, but not water. I drink water before the meals regularly, and drink nothing during, and often wait an hour to drink anything. This keeps the stomach acidic.
I'd say rice/starches you probably wouldn't get reflux because they digest with less acid. what processes starches prefers more alkaline, so I doubt you will have as much issue with them.
How is your diet now? If you are eating foods that require acid (high protein), make sure you are drinking your fluid about 30-20 minutes before food. This will maximize acid in stomach and help prevent reflux. .
Research food combining. Maybe try an HcL supplement. Betaine.
Also, its probably best to follow same protocol for high fat meals as high protein. Water before, not with/after. Really I think that's best for everything.