I like the suggestion of Xylimelts.
Mongo, I have to respectfully disagree that having an A1C of 6.0 is good control of diabetes. Please google "Diabetic Normal” Blood Sugar Is NOT Normal Blood Sugar" which will take you to the site of low carb rn who will explain this further.
Anyway, she explains that having an A1C of 6 equates to a fasting blood sugar of 115 which even conventional medicine feels is pre diabetic. In her opinion, having an A1C of 5 is optimal.
Bubster, if you aren't doing this already, you might want to follow her advice in going on a low carb, high fat diet which has a good chance of getting your A1C alot lower into true normal A1C ranges. Of course, work with your doctor on this since you are taking several medications that might need to be reduced if this diet helps you.
Anyway, I am wondering if you get your A1C into truly normal ranges, if your dry mouth issues might improve. It is just a thought as I haven't seen any research that would say yay or nay.