I think you should fill out the questionnaire for Dr. Illan and see what he recommends and why. I am choosing a sleeve over bypass because you cannot take NSAIDs after bypass (ibuprofen, Advil, Aleve, etc.). However, it is my understanding if you currently have really bad acid reflux, you should go with bypass over the sleeve.
My surgery with Dr. Illan is scheduled for March 6th. I have the same concerns about finding a doctor stateside and with insurance. It seems that the majority of people don't have problems with that and are able to find doctors to help them. My plan is to schedule a physical with my regular doctor three months after my surgery and then have the discussion with her then.