I can relate to this, having struggled with heavy periods and anemia (with subsequent gi tract fun) for years. My advice is to keep looking until you find a doctor that understands female reproductive hormone balance and thyroid issues, and has a holistic view of things. Just sticking you on oral contraceptives to mask the problem doesn't solve anything. There must be some reason why your body is constantly bleeding, and I'm sure there is an answer somewhere.

Oh, and I highly recommend a menstrual cup instead of pads/tampons.