An A1C would paint the rest of the complete picture. You could be running low at night quite often and then your liver is kicking in with dumping glucose to counteract the low. It may be working too well and causing you to run high. This is sometimes known as the Somogyi Effect.
From
http://www.diabetic-talk.org/dp.htm
SOMOGYI EFFECT
Somogyi Effect, named for Dr. Robert Somogyi, its discoverer, is a high morning BG due to a low overnight. It is most commonly seen with insulin using diabetics, but is also seen with overnight reactive hypoglycemics.
The mechanism is a low overnight, which causes the body to react by releasing many of the same hormones seen in DP. The strongest blood glucose increasing hormone, glucagon, plays an important role. It tells your liver to start glycogenolysis and gluconeogenesis to provide enough glucose for your body to survive. This is sometimes referred to as a Liver Dump. Often, this mechanism over-produces, and you wake to a significantly higher BG.
Setting your bedtime BG target a bit higher, will usually prevent you from having a hypoglycemic event overnight.
Without an A1C it's really hard to say exactly what is all happening though. What have your fasting BGs been? Sugars in the 7s, 8s, 9s, are not normal unless they are within an hour, sometimes two, after eating.
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