You could have a Hiatal hernia. this is when a portion of the stomach pushes up (tears) through the diaphram of muscle that supports the digestive tract. This portion of herniated stomach creates a pocket which can act like a trap for food, causing the need for the drinking while you eat.
This has happened to me. I was doing the same thing with gulping water to stop the pain i was having while eating. It was pretty bad, i would lose my breath, i thought i was having a heart problem. I had a procedure called a Barium swallow, (it's an X-Ray they take shots of while you swallow a thick liquid called barium this shows the esophagus at work) this showed the Herniated stomach. I now take a prescription for Acid reflux called Omeprazole 20mg, and have been instructed to avoid eating 2 to 3 hours before sleeping. To Avoid Caffiene, Alchohol and Fatty FooRAB. These 3 cause Reflux as well...
Hope this gives you some insight. I would see my Doctor if i were you, ya never know...