This article is very good, and the suggestions for dealing with morning high blood sugars are all effective.
Personally, I found no solution until I began using an insulin pump. For the first time in over 30 years, I was able to sleep through the night, and my A1c's improved drastically. I've not registered above 7.0 since I started using the pump.
I'd highly recommend upgrading to the pump, if at all possible. Your quality of life will skyrocket, and have you smiling in the morning, every morning!