Are you taking any medicine or supplement which could be a stimulant?
When I weaned off of my natural thyroid*, low-dose dhea, and iodine supplements, my episodes of hypoglycemia improved dramatically. I didn't wean off of them for that reason but later in retrospection realized that instead of daily episodes--some which were getting very bad--I only get an episode maybe 1-2 per week.
You may not be using these same supplements but you could see if something you're on is creating this. Foods can cause this too if you have a hidden sensitivity. You could try tracking it if you have a food diary. For instance, cow's milk does this too me. Also if I eat a banana, I almost always get a drop within about 45 minutes.
Finally are you eating frequent small meals that incorporate healthy carbs, protein and fat together. I like Dr Diana Schwartzbein's books because she gives all the reasons why we need to eat those in balance. For instance, eating a protein/fat meal alone will raise your adrenaline levels and can set off hypoglycemia.
Hope you're able to figure this out for your own body though. Those drops are horrible.
Dr Wilson has a good page
here too but lots of info. Posting just in case you would find it helpful.
I do think we talk a lot about cortisol levels but I'd be interested to know what the adrenaline levels look like at the same time.
Edit: *I do still take thyroid medicine for my hypothyroid. Thought I should clarify on that. I just was on too much thyroid with the NDT being a problem for me. Some people do well on it and I tried to for 11 years but even though the doctor kept pushing it, I had a feeling all along that that was a problem for me. So don't go off your thyroid medicine if your doctor has prescribed one for you!!!