When you figure it out, please let me know. Seriously, I feel your pain. Being exhausted does help you put in a full night, it's about the only way I know how.
Alcohol does NOT help. Weed might
but I'm not going there, that's been too long ago, and I don't want to smoke with the way my lungs already are!
I've taken unisom, feel twice as tired the following morning. I was perscribed Ambien a few years ago for a few weeks. That stuff will KNOCK YOU OUT. One time the wife and I had a nice little "session", and the following morning I couldn not remember the end of it, I had to ask her if we finished out ok or if she had to roll me off
. Anyway, after about 6 days of Ambien, I'd fall right to sleep but still wake up at 2:30, then be 3 times as tired the next day.
One thing that did help me, and I need to get some dimes to rub together to do it again, is Vitamin D and breathing exercises in a tub. Massive doses of Vitamin D, like 5 to 8 times the "USRDA". The right practitioner can help you here, for me it was a chiropractor, then you get a tub and breathe deeply. When you breathe in, you relax your abs / stomach and breathe all the way down in there. Most people incorrectly "breathe deeply" by lifting their diaphragm and shoulders. You know you've got it right when you feel like you start to float in the water, because the air is down that deep. That's why the tub, and the warm water is relaxing anyway. May sound weird, but I've had sleep studies, drugs, etc., and it was the only thing that made progress for me.
Good luck, and be careful.