We definitely believe that Iodine would be of help along with selenium and magnesium. For specifics to your case you should consider a consultation with Dr. Sircus and never stop your medications suddenly without medical supervision.
you can learn about consultations with Dr. Sircus here at : http://naturalallopathicclinic.com/
The avoidance of goitogenics should be mentioned , fluorine is major, so is soy products