Will the mini-pill (no estrogen) help me regulate hormonal imbalances? I have migraine with aura and can only take progesterone only.?

My young GP doctor advised that progesterone only birth control can help me to an extent however, this contradicts what I believe I have been told by an OBGYN in the past as well as some of the things I'm reading online. My understanding is that progesterone is really only going to prevent pregnancy and it often causes irregular periods and acne...and things that would suggest that hormones are not really being well balanced. The symptoms I'm trying to resolve are 1) My expanding symptoms of pre-period insomnia and anxiety 2) Early starts and delayed starts in my period which seem effect my PH causing me yeast infections. 3) And my newest sign of an imbalance which is painful acne of the labia. (I know this is a red flag for STI which I spoke to my doctor about this week and was tested for.)

My sense is that my hormones have steadily become more unbalanced and I need to reign this all in with hormones via birth control. But as I said, I have a contraindication with estrogen. Is the Mini-pill or Nexplanon going to do what I need it to do? Or can I look forward to all of these fun things in my cycles to come? Please briefly qualify your knowledge on the subject.

Also, I have had the arm implant, Nexplanon, in the past ...but I wasn't taking it to fight these progressing symptoms that I'm having now.