You should stay well, well clear of Diabetic foods and products. Like what the others have said, it just raises your blood sugar.
I usually only have food outside meals and eleven and three/four o'clock because its the time where my blood sugar should be the lowest, and its when I have breaks from school.
Also, it takes you twenty minutes to digest food, so if you're worried about your blood-sugar, you should check an hour and a half/two hours after having a snack, and only have that snack if you're blood-sugar is at an acceptable level. I know I won't be the same as everyone else, in this regard, but my blood-sugar follows a pattern as long as I stick to the same meal-times and insulin measure.
And in regards to your blood-sugar after the treadmill session, you need to keep an eye on your blood-sugar during exercise - check before, every fifteen minutes, then afterwards regardless of how good it was. Also check maybe twenty minutes after, as I've had higher blood-sugar than before after exercise, that I think might be adrenaline (still haven't checked out the possible reason, actually).
