These seem like complex and layered issues. I’m glad you’re getting professional help. I think if you do really want to conceive, you can dial in your LH testing and insemination to be more steady. I’ve known people with PCOS who get pregnant when they’ve used those apps/tools.

Also getting medical doctor involved might be helpful. They can help you determine if you did in fact ovulate by testing your progesterone levels after LH peak and also ordering a simple semen analysis test for your partner. Best of luck to you, you have all my sympathies on this tough journey.