It seems like you have been through the wringer. The RAI usually works on the first try to rid us of the scourge of hyperthyroidism.
I understand what it is like not to be able to participate in an activity that is a passion. But it strikes me that you might look forward to being able to run again, if only you and your doctors can get your hyperthyroidism under control. I cannot give you advice about the "best" way to do that — only your doctor can do that. I can tell you that there are only three options that have been proven to work: the antithyroid meds, RAI or surgery. Anything else is unproven, and a time waster. And, as a result, dangerous.
I can only advise you to "hang in there." Discuss your treatment options with your doctors, and then do it. The fellow who started this board long ago (Jake) used to give frequent pep talks about us thinking of ourselves as Graves’ warriors. The warrior image did help me when I was going through snafus and snags on the road to recovery. I imagined myself wearing a Valkyrie helmet. Perhaps such an image (if it doesn’t make you laugh) could help you, too. Although, come to think of it, laughter also helps from time to time.
Wishing you much better health, and soon.
Bobbi — Online Facilitator