Sugars really only have several places to go once they are ingested: Held in the fiber of undigested food, blood stream, liver and muscles.
We do really well with vegetables even though they are carbs since veggies are mostly fiber and very low carb. The high glycemic foods are okay provided that muscle glycogen is going-to-be/has-been depleted in the form of physical exertion.
Building muscle would also increases ones capacity for storing said glucose, but it's not easy or popular since the rate of muscle growth at best is about 1-2lbs/month under ideal conditions of physical exertion, nutrition and rest.
However, exercise and low-glycemic diets do explain the efficacy of reveesing t2 diabetes.