Sorry to be jumping in late but thought I could add a little something that MAY help. My husband has MG and I used to be a speech-language pathologist. Many speech therapists specialize in swallowing therapy. If you haven't seen one I would suggest that you try to get a referral.
Depending on what the barium swallow study indicates, they may be able to suggest some compensatory maneuvers to help you with your swallowing difficulties. In some cases a chin tuck, head turn or making a point to hold your breath prior to swallowing may help. These are just a few of the techniques they may try, again depending on what they see on the swallow study. I am in NO way suggesting any of this may help, only a speech therapist who is evaluating you can make that determination.
Good Luck!!!!