Should I go with radioactive pill or thyroidectomy?

I was diagnosed with Hyperthyroidism in June 2008 and in November of that year, my endocrinologist told me that I also had Graves Disease. I was given the radioactive pill (RAI) but since they didn't give me the right dosage, RAI didn't kill my thyroid when it was supposed to. After the RAI treatment, my eyes got worse! My eyes protruded a lot due to the treatment. I am on methimazole and propranolol and my hormone levels seem to be normal so far but my TSI is still very high, so I still have this Graves Disease and my eyes would keep protruding if I'm not on proper medication. I don't know how long I'm gonna have this problem but my endocrinologist is suggesting me to go to an eye doctor first before I choose to have the Radioactive Pill again or I could just have my thyroid gland removed, honestly I don't know what to do! Does any of you know anyone who had Graves Disease that went away after having the surgery or RAI second treatment?