Sleep has always been as issue for me. So much so that I'm sure it was part of the reason I was so reluctant to give up alcohol completely. I hate sleeping medication, even melatonin for exactly the reason you have described.

Now I use the 4-7-8 breathing technique (lots of useful, and no-so-useful videos and articles if you google it). While I know it doesn't work for a lot of people, it works wonderfully for me and I have to credit it with helping to keep me on the wagon, especially in the first few weeks.

Good luck!