I am not a doctor. But, in my role as a therapist, I have to be up side effects of certain meds. Yes, ADHD meds do affect the sympathetic response, but I have never read any articles or heard the psychiatrists I work with, or my clients talk about the kind of response you are having. ADHD meds aren't like SSRIs, in that they work immediately, and then they are out of your system after a few hours. Could taking them for 4 years make permanent changes in your hormone levels? Anything is possible, but this is something I have not heard of.
Peri-menopause at age 38-39 is *not* unusual. I was about the same age, and I know many people who were the same. It may just be that going off of the meds and your symptoms happened at the same time, but it's not the cause. Everything you describe is related to menopause.
I know others here will disagree, but adrenal fatigue, well, I don't believe it's been empirically validated as a real thing. I know it's popular in the naturopathic community, but I am suspicious. I'm all for natural treatment, as much as possible, but... tread cautiously before spending $ on treatments. All of these symptoms suck, but, I would listen to see what your gyn says.