What can I do for my amenorrhea without going to a doctor?

See your doctor. I know that's not the answer you're looking for, but you need to find the cause of the amenorrhea. There is a wide range of options and it is in your best interest to find the cause and treat it if necessary. Keep yourself healthy!
Preg test-neck-boobs. Make sure you aren't pregnant first (dollar store test is just as good), check your neck for thyroid swelling (glands on either side of your neck) & check your breasts for any abnormal leaking. If any of the above are positive, you should really see your doctor. If not, check any medications (ie - birth control). If this doesn't help, please see your doc. You could risk bleeding or cancer.