It does sound weird that a low TSH (thyroid stimulating hormone) is hyperthyroid, but it is because there is an excess amount of thyroid hormone present making TSH low in an attempt to control thyroid hormone production.
There are 3 treatment option that I am aware of:
1-Antithyroid meds.....Methimazole (tapazole) and propylthiouracil (PTU). These drugs accumulate in the thyroid tissue and inhibit hormone production. PTU also blocks the conversion of T4 hormone to the more active T3 hormone.
There are medications available to treat the symptoms caused by hyperthyroid, most commonly a rapid heart rate. Which is why roachell's wife was on inderal. It counteracts the increased metabolic effect of the thyroid hormones, but do not alter the actual hormone level
2-Radioactive iodine...given orally (either by pill or liquid) on a one-time basis. The radioactive iodine is picked up by the cells in the thyroid and destroys them. Since iodine is only picked up by thyroid cells, the destruction is local and there are no widespread consequences to this therapy.
3-Surgery...This is common for recurring Graves' disease, those with severe cardiac involvement, patients who are pregnant (like roachell's wife), or those who can't tolerate antithyroid drugs. Surgery is less common today because of radioactive iodine therapy and trapazole and PTU
Obviously you have choices...hope this helps...good luck!