You may need to find another doctor to treat you, but the first step that patients in your situation would do would be to:
1. Mention to the doctor that you could have "CENTRAL HYPOTHYROIDISM" and/or having another condition that falsely lowers the TSH (metformin is one drug that can do that), and that "empiric therapy" with thyroid hormone (I prefer using both T4 and T3, such as Natural Desiccated Thyroid) would be a reasonable thing to do.
2. Mention to the doctor at the 2013 American Thyroid Association conference, a poster was presented showing that thyroid ultrasound (and eventual biopsy) did NOT line up with lab tests. Patients with "normal (in-range) lab tests" often had lymphocytes and proof of Hashimoto's Thyroiditis on biopsy.
3. Mention to the doctor that his goal as a physician is to alleviate symptoms (pain and suffering), prevent bad things from happening in the future, and not cause harm. By not treating you, you remain to suffer, and bad things might happen in the future. By treating you with the theory of "start low, go slow", his/her chance of hurting you is minimal.
But alas, many endocrinologists don't listen. If that is the case, you need to find a new doctor.
Just because labs fall into a "normal" range, doesn't mean they are normal for that person. andeflora's symptoms are those of hypothyroidism and her FT4 levels are very low in the ranges, as are the Total T3 levels. Those levels could very well cause hypothyroid symptoms.
Sounds like your thyroid is normal. Why do you want to treat a normal thyroid? Where you diagnosed hashimotos? I wish I could get my levelsthat close to normal.
I'm not a pro at this but it looks like you are in the range.