Hi Fran,
Yes, Graves' disease is a self-limiting condition. Once the immune system heals and stops producing the antibodies, the condition moves into remission.
You're correct in noting that your thryoid hormone levels are too low and that your mmi dose is too high for you. Taking 1.25 daily works better than 2.5 mg mmi every other day as it provides more stable levels. It's important to avoid becoming hypothyroid from meds because this encourages thyroid antibody production, which can trigger eye symptoms.
A good choice for you would be block and replace, where thryoid hormone is added to your mmi. If that's not an option, lowering the dose to 1.25 mg should help.
You're not yet in remission because your TSI is still elevated and being hypothyroid may be preventing it from falling. Taking selenium 200-400 mcg daily can help lower thryoid antibodies and so can avoiding all environmental triggers.
The reason your thyroid hormone levels aren't very high is probably because you also have blocking TSH receptor antibodies that prevent the TSI antibodies from reacting with your cells. So even though your thyroid hormone levels are low with a low mmi dose, you want to see TSI fall before stopping meds. Best, elaine