According to my lab, FT4 ranges are 0.8-1.8, so you would be too high on T4, unless your lab
uses different ranges.
I would honestly find a new endo if this doc would not test or treat FT3 levels. You may be high T4 but low T3, in which case, you could feel much better by lowering the Synthroid and adding Cytomel. If you are still feeling hypo, then you should have your FT3 and maybe even reverse T3 levels tested and treated. I had a doc who would only prescribe Synthroid.