iodine liquifies fat. if that is the only problem, then that should take care of it.
if the stones are calcified, then that is another problem altogether. a strict intake of distilled water only(juice and herbal teas made with distilled water) is your best bet. it will slowly leach the rocks out just like water leaches rock from the ground. it is undistilled water which carries this rock into your body in the first place.