Sometimes the hypothyroidism that follows childbirth can go into remission, and meds can be reduced or stopped; but usually, the hypo returns later in life. Menopause is often a time when that happens.
There is no one miracle food or drink that will cure Hashimoto's disease. All the reputable health food sites I've looked at say the best treatment for it is prescription thyroid hormone replacement therapy. They claim that their products will help "support" the thyroid -- whatever that means -- during medical treatment. But don't expect a cure from any of those products.
Trust me. There are a lot of people who stop by this board who are begging their doctors for treatment who are refused it. If you are getting good care, and have seen some improvement with the meds, it wouldn't be wise to give that up.
"We can complain because rose bushes have thorns, or rejoice because thorn bushes have roses." Abraham Lincoln