Hi, I would demand your doctor to do the Ft4 and Ft3 tests. They show the actual circulating thyroid hormones. The TSH should not even be looked at and is useless IMO.
The Frees FT4 and FT3 need to be in the upper 1/3 of the range for you to feel good. Even the AACE mentions the Ft4 needs to be in the upper 1/3 of the range.
If you have a doctor that is not willing to tests the Frees, then look for one that will. It is your health, and you deserve good treatment.