Hello and welcome – Yes, thyroidectomy is an option after RAI. If you go back through the last few pages of posts, you will find where AZGravesGuy documented his experience – he went through all three treatment options!
Going on antithyroid meds (if you tolerated them well before) and having RAI a second time are also options if you are still hypER after the first treatment.
If it’s a matter of levels fluctuating back & forth every time you adjust your meds, you might ask your doctor about alternating doses on different days. Sometimes the conventionally available dose amounts are not exactly what you need to find your own personal “sweet spot.”
Take care – and keep us posted!