BB
Those low numbers need not be dangerous in a T2. It rather depends on what medication you use. If it's insulin or a sulphonylurea, you could have a problem. If it's Metformin, it probably isn't. The reason is that on Metformin alone, the Bg level isn't likely to be changing very fast, so you have time to realise what's happening and correct it. The Hypo causing mediations can overtake you, although, when I did use Gliclazide a few years ago, It never went too fast for me and I always got a correction in time.
Is there a pattern in the time of day, or activity, which cause the drops? If so just being aware and doing a check could be the answer.
You obviously do have a subconscious awareness, because it did alert you.
Hana
PS the conventional reply would be to say to run BG a bit higher for a while, but I'm guessing you don't want to give up your good numbers.