OP, I don't have any advice, but I just wanted to say my heart goes out to you. I'm AFAB and not completely sure what's between my ears - I just know that isn't female.
My entire life, I had have terrible, terrible physical and psychological reactions to any kind of hormonal birth control, especially progesterone. It has always made me wonder if something in my chemistry might be different. If I could throw a switch to stop the periods in a second, I would.
I hope you're able to work out something with hormones that feels right to you, and you're able to continue your regimen when you move. Wishing the best for you, and your sibling, too.