Same thing for me. Sucks. My wife's head hits the pillow and she is out. She could fall asleep standing up I bet.
Me...not so lucky.
I tried sleeping pills, but like you, I don't like taking them. Then I found something a lot more natural and it helps big time on those nights I cannot get to sleep, no matter what I do:
Vivitas Melatonin
The link is to the regular strength, I buy the extra strength now. Works great. You can pick it up at Shoppers, Zellers, Walmart...any of those places.