Writing at night is quite an idea. Although for me I do most of my writing first thing in the morning. I usually prefer not to write at all once it gets dark.
However, I also developed issues with sleep, especially when I started taking caffeine. But what I did then was watching movies. I made sure I put a movie I didn't like, so it won't draw my attention. The background noise helped me a lot back then. Because I always fell asleep less than ten minutes into the movie.