You sound like me. My FBG has always been low, even on diagnosis - but since rigorous testing and wearing a Libre I discovered I am what is known as a "foot on the floor" person as regards this. My liver starts dumping glucose after I have been out of bed and pottering about for a while. I tried skipping breakfast for ages and had an 18 hour fast until lunch time, then evening meal 6 hours after that. I then tried a decaff coffee with double cream first thing, and that worked better. I now have one soft boiled egg first thing, followed by my obligatory cuppa. This works much better.
I also detest creamy tea. I drink several mugs of tea a day with a dash of skimmed milk (people will recoil in horror about this, but the difference in carbs is negligible)
Coffee also gives me palpitations, so I drink it rarely and only decaff.
This sound familiar, although I don’t do my fasting BG until I’m up, and dressed. I know people advocate doing it in bed as soon as you wake but I had no difference doing that or doing it 30-40 mins after waking.
Then I have breakfast and have found like you an egg seems my best option - sometimes with bacon, or full fat yogurt with a few raspberries or strawberries.
And yes! I’m several mugs with a tiny amount of skimmed.. I like builders tea and don’t find the carbs mount up to much as I do track everything to be sure.
It’s weird but it does vary so much individual to individual. I bet the Libre has been invaluable. Did you self fund?