this is a super late reply but if you still need help, do you get your blood sugar checked regularly? Low BP in the morning plus excess adrenaline at night sounds like your sugars are low, it makes your body release cortisol to get you up so you can eat.

I have the same disorders as you and my sugars tank fast sometimes, same with another EDS friend of mine, but I’ve no idea if there’s a proven link yet. Docs aren’t exactly sure what causes mine, they thought I might be diabetic as a child - basically my body burns through sugar far too quickly and then crashes quickly after. Blood shows it increases worryingly fast and then drops almost immediately. I lie awake in a state of physical panic, almost vibrating with adrenaline, or wake up in the night if I don’t eat something before bed
(awful idea when you have GERD but… lesser of two evils), get REALLY shaky and mean if I go just a couple hours without food, have to eat first thing in the morning and pee excessively after meals. My theory is that it’s caused by POTS as it gets worse on days when my heart rate is higher, maybe pulse affects how fast our bodies burn through carbs?

(If you can’t access regular sugar checks, get a pot of pee strips on Amazon - they check for loads of things including ketones which can indicate your body needs carbs)