Nothing helpful to add about your question, but wondering how you got your Hashimoto diagnosis. My mom has it, and I keep getting thyroid panels done every six months bc I have so many of the symptoms, but they all come back normal. I feel like my doctor isn't actually taking me seriously at all. :-/
Which bc pill are you using?
I've always assumed that the best thing to do is finish out your current month so that you're next AF comes as scheduled. Then usually they say about three months before you'd be successful ttc. Though I've beard of plenty of people getting pg the first cycle off of bc.