I do not menstruate because I am on Mirena (30% of Mirena IUD users do not menstruate) but I can just tell you that as a general medicine for insomnia, the best thing is medicinal cannabis if it is available in your state. In my experience, it is better than all benzos combined, Zyprexa at any dose, Amitriptyline (although it is still good), and Trazodone. I take very little so I do not experience any psychedelic effects from it - I just have a good night's sleep and am restored enough by next morning to be able to swim for 60 minutes and bike for 70 minutes before having my first cup of coffee at work.

So it is definitely a kick-*** medicine without any side effects and it is legally available to you (I do not want to recommend anything illegal, for obvious reasons), it is definitely worth trying.

Back when I had my period, two things were generally helpful just to feel my best, not to feel any cramps, to feel well, etc. - sex and cardiovascular exercise. Both, most likely, via increasing blood flow to the pelvis. Do not know if that would help insomnia, but at least it would not hurt to try. And the worst thing that caused cramping was prolonged sitting. When I was hiking, e.g., on my feet all day long, I had no cramping whatsoever. So sitting is really pernicious. As it is well established that prolonged sitting is overall detrimental to health and longevity, I would not be surprised if days spent sitting lead to sleepless nights. So maybe get on your feet more?