These days I can't have a coffee after 3 pm or I wont sleep. Maybe if you cut down the coffee, you might be able to sleep naturally. Having said that, coffee is almost the staple diet of the alcoholic so it might be easier said than done.
Sleep was a problem for me in early sobriety but it wasn't a problem that could be fixed with medication. My problem was skeletons in the closet which came out to dance everytime I tired to sleep. things I did that I was ashamed of, people I was frightened to face, all that wreckage of the past paraded through my mind making sleep very difficult. That problem disappeared after step 5 and I have had little trouble sleeping since.