I hear ya, jillybee-
Not only have I experienced what you have, I was also introduced to stuffing by a, well, ex-lover now, but I never shook the habit. Once introduced to liquid stuffing, I'd ask for just about anything non-carbonated- from water & juice, to milk, tea, & some beer.
What I found helps in at least slowing the intake is you drink something that tastes bitter, sour, salty, or some combination of the three. For example: One night, I went out to a restaurant & started liquid stuffing with chocolate-peanut butter swirl milkshakes. I had gotten through about 3 when my stomach got that glorious & all-too-familiar 'aching' feeling. Before I asked the waitress for another shake, I took a gulp from my friend's black coffee (can't stand it black- too bitter)... I didn't drink anything else until I got home for a small glass of water, just so I could get the coffee taste out of my mouth.
That'd be my advice for now- if that doesn't work, just look me up & I'll give ya more ~_^
~Chub41ub