All carbs are sugars but complex carbs convert "slower" and in a balanced way. Your sugar reading might be up because the only other sugars you're getting/foods you're converting are doing it in an unhealthy way?
If I had medical problems I'd ask my doctor about what sort of diet would be good to try. I use the DASH diet which the American Heart Association and medical organizations like:
http://www.mayoclinic.com/health/dash-diet/HI00047
I subscribe to
http://www.dashforhealth.com and do one of their versions for weight loss.