Re: I don't want TMI
Last article I read basically said most women astronauts prefer to keep on the birth control pill without the placebo pills.
If you ever noticed them, the package comes with 2 colors of pills - the pink normal pills and the red placebo pills; the placebo pills are only there to keep reminding them to take a pill every day so they don't miss the real pills. Menstruation happens during the placebo pill phase.
No placebo pills, no menstruation.
EDIT:
https://www.cnn.com/2016/05/11/health/space-gynecology-periods-in-microgravity/index.html
CNN article from 2016 that includes a link to a study of military females as well as astronauts, as well as notes on a long-term (think no daily pill) style of birth control as well.
