Hi Bigdog, welcome.
Let me guess… if you test before lunch or dinner, your level is lower, yes? If so, you are experiencing Dawn Phenomenon, which is very common among T2’s. Due to loads of hormone stuff which is to do with getting ready to wake up and take on the day, your liver dumps glucose into your blood. Actually, this always happens, but in people with T2 it really goes overboard.
I have recently (3 days ago) started using the Freestyle Libre, which is a flash glucose monitoring system. I have a patch stuck on my arm, with a little filament sticking just under my skin. It measures glucose in interstitial fluid, which tracks blood glucose pretty well. It records it every 15 minutes, I scan it with a little reader device and then I can see exactly what has been going on.
I’ve discovered that my BG is at a normal level right through the night, starts creeping up about 5am and rises inexorably till about 10am, after which it decreases slightly. And when the meals I eat are low carb, it barely rises at all after eating. However, the rise in the morning is so steep that, depending what time I tested my blood, it would be either a good or a bad day.
So, your doctor has a point in that your A1C averages out what’s going on across the day as a whole. But it is still important to get those morning readings down, because they do contribute to damage at the levels you mentioned.
I would say give it more time - stick with the very low carb, and you will see your morning readings improve. But also - there are various things people suggest to blunt Dawn Phenomenon. Some swear by a protein snack before bed, or a fatty snack, or a small breakfast… but what works for one apparently doesn’t work for all.
I’ve just set out on a programme of quantifying my Dawn Phenomenon when I try different food/drink options, both in the evening and at bedtime. Over time, I’ll be able to track down what works for me - and the Libre will help a lot with that because I don’t have to guess when is the best time to test, I get a pretty good picture each day of how much my BG has risen over the morning.