I was diagnosed with Type 2 eight years ago and have fortunately been able to control it with diet and exercise since.
It took me about six months and a loss of 50 pounds to reach my target A.M. fasting numbers under 110. For a couple of years I was consistently around 95-105. Then, the numbers began to creep up in the mornings, but my a1c has always been between 5.5 and 6.5.
I experience those "dawn phenomena" caused by nighttime lows triggering the liver to release glucose into my system. The lower my bedtime reading, the more likely I am to see 115-125 in the A.M.
But, I have learned that diabetes is complicated and can be influenced by stress, amount of sleep, changes in schedule and many other things besides just diet and exercise.
Try the bedtime snacks and any other helpful suggestions your doctor or dietitian offers. You need to find out how your body responds. Then, watch the A1C results to guide you.