Firstly, my interpretation of BS is what I get from my GP, they're full of it. Anyway, nice to make your acquaintance. I'm not an expert but I think your issues maybe to do with what's called ' liver dump' where it fires your body up during the morning, part of this includes the release of glucagon into your blood stream. My GP, and a few people on here, have told me not to take BS readings in the morning nor to expect a low reading.
There are far more knowledgable members that maybe able to offer far better analysis than I, please do google 'liver dump' or pre-dawn syndrome and see if you can match it to your symptoms. With kind regards, Q..