I have Hashimoto's thyroiditis but for two months Graves antibodies showed up. This caused very hyperthyroid symptoms and also pretibal myxedema on my shin (this took a year to go away after Graves antibodies settled back down). My labs however showed I was hypothyroid with a TSH of 6 (0.4 - 4.0) and free T4 at 13 (10 - 20) when I was VERY hyperthyroid. My thyroglobulin serum however was very high (due to being hyperthyroid). The labs can get quite confused with Hashitoxicosis it seems.
Excerpt from Thyroid Disease Awareness - Hashitoxicosis...
"A probably diagnosis can also be made by thyroid antibody tests. In Hashitoxicosis, thyroid peroxidase, thyroglobulin, thyroid binding inhibiting immunoglobulins (TBII) and thyroid stimulating immunoglobulins (TSI or stimulating TSH receptor antibodies) will all be present.
Anyone who is genetically predisposed to autoimmune thyroid disease can develop Hashitoxicosis. It's not uncommon in one's lifetime to have HT, GD, primary myxedema and Hashitoxicosis at different times. According to some researchers, Hashitoxicosis is most likely to be encountered in the early stages of autoimmune hypothyroidism. Patients with GD who have achieved remission may actually be experiencing the early stages of spontaneous hypothyroidism when symptoms of Hashitoxicosis emerge."
In trying to diagnose a potential hypothyroid patient, the most important consideration is symptoms, followed by levels of the biologically active thyroid hormones, Free T4 and Free T3. In addition there are a number of processes and variables that affect having adequate tissue thyroid levels and effects and being euthyroid. It is not simply a matter of the TSH level, or even the FT4 and FT3 level. Other factors are important also. You can read about all this in the following link. I highly recommend reading at least the first two pages, and more, if you want to get into the discussion and scientific evidence for all that is recommended. Note especially Fig. 1, and its review, on pages 7 and 8.
http://www.thyroiduk.org.uk/tuk/TUK_PDFs/diagnosis_and_treatment_of_hypothyroidism_issue_1.pdf
So every diagnosis of potential hypothyroidism is a probability theory: it has a degree of uncertainty associated with it. The ultimate test of the theory is a trial of thyroid med. If symptoms improve with thyroid medication that adequately increases FT4 and FT3 levels, then the diagnosis is supported.
You have a number of symptoms that are frequently due to hypothyroidism. Unusually, your TSH is suppressed, even though your FT4 is around mid-range, which is adequate and TT3 is low in the range. If your Free T3 is similar in range to your Total T3, it is much too low, and the likely cause for your hypo symptoms. The disparity between FT4 and FT3 levels indicate a conversion problem. You are not adequately converting T4 to T3, or perhaps converting too much T4 to Reveres T3. So you need to get the doctor to do additional tests in accord with Sugg. no. 4 on page 2 of the link. Those would be Free T3, Reverse T3, cortisol, Vitamin D, B12 and ferritin. Then you are going to need a doctor that will treat clinically, by adjusting your FT4 andFT3 levels as needed to relieve symptoms. If the ratio of FT3 to RT3 is inadequate then that will also need to be addressed. Since hypo patients are so frequently deficient in Vitamin D, B12 and ferritin, you need to test those and supplement as needed to optimize. D should be at least 50 ng/mL, B12 in the upper end of its range, and ferritin should be at least 100. I say all this assuming that the Graves' is truly in remission and no longer a factor.
If you are unable to locate a good thyroid doctor that will test and treat as described, then perhaps we can suggest one that has been recommended by other thyroid patients in your area.