I think you can safely take PTU (another anti-thryoid drug) while pregnant, it doesn't carry the same risk as methimazole during pregnancy. So, there may be another option for you if you end up being pregnant. I wish you the best.
i should add that on top of not beng able to find my IUD string, im also experiencing breast tenderness(first symptom i experienced when i was pregnant with my daughter). can breast tenderness be a symptom of beng hyper? i hope so but i doubt it. also ive taken a pregnancy test and it was negative but idk t may be too early for that.