Your Free T4 of .88 is only 17% of its range, when optimal is 50% or higher. Your Free T3 of 3.75 is only 39% of its range, when it typically needs to be in the upper third of its range, or as needed to relieve hypo symptoms like those you listed. TSH is a useless test when already taking thyroid med. That is because it frequently becomes suppressed below range when taking adequate thyroid med. Many times TSH actually becomes an impediment to adequate medication because doctors misinterpret suppression as being hyperthyroid. In reality hyperthyroidism is present only when having hyper symptoms due to excessive levels of thyroid med.
A good thyroid doctor will treat a hypo patient clinically by testing and adjusting Free T4 and Free T3 as needed to relieve symptoms without being constrained by resultant TSH levels. Symptom relief should be all important, not just test results.
You can get some useful info from the link within the following link. After reading at least the first two pages, you can give a copy of the paper to your doctor to try to persuade him to treat clinically. If that fails, then you will need to find a good thyroid doctor that will treat clinically as described.
http://www.medhelp.org/user_journals/show/2019570/Diagnosing-Treating-Hypothyroidism-A-Patients-Perspective?personal_page_id=12021
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In the paper you will note that in addition to testing for Free T4 and Free T3, it is also recommended to initially test for Reverse T3 and cortisol. In addition, since hypo patients are so frequently deficient in Vitamin D, B12 and ferritin I also suggest that you try to get tested for those and then supplement as needed to optimize. D should be 50 min., B12 in the upper end of its range, and ferritin should be at least 70 and some sources say 100.