eating lower carbs and replacing the lost energy with healthy fats can help a lot too,
A Low Carb Diet Guide for Beginners – Diet Doctor or http://typeonegrit.blogspot.com.au/
some need to bolus for about half the protein when doing it
edit…woops only 5 years too late for the advice 
It is absolutely the insulin. My endo confirmed this, and so now I am trying to inject into other parts of my body. It is, in fact, the insulin. Follow your instincts because docs don’t
know everything.
Your endo is correct and for this reason, a very low carb diet, 20 grams daily, is beneficial for diabetics. Less insulin equals less fat equals less disease. Some docs won’t tell you that because they are all about old science and are antiquated in their practices.