Tips for avoiding lows during exercise?

My sugar drops a 120mg/dL in a 35 minute run. I have turned my basal off for two hours and it still drops. Right now I need to be above 200 to avoid a low, and have my basal off for 3 hours. I don't want to eat before running, yet want to avoid my sugar dropping so quickly.

Any suggestions for a food that will hold my sugar but not sit heavily in my stomach? Any other suggestions?