Cytomel, Linorma, Shytomel

I have hypothyroidism for 10 years and it turned to Hashimoto's in the last 2 years. I am using medicine for it and even when my TSH and T4 hormones are in balance, T3 was always too low. I take zinc and selenium daily, but they haven’t helped. As the tests, my body can’t convert T4 into T3 (TSH and T4 were in normal levels but T3 was 1.64 on the last test). I am experiencing a lot of bad symptoms such as tiredness, cold foots/hands, gaining weight but I the main thing is I am experiencing horrible hair loss. Even my TSH is normal now, my hair is falling out in clumps. I’m a young woman and the top of my head has thinned. All my other hormones (including gender hormones), iron, vitamins, and minerals are normal; the only thing low is T3. I want to bring my T3 back to normal levels but I couldn't meet any doctor that prescribed Liothyronine! I'm so tired, I did dozens of research, read everything, checked my all lab results. I decided to begin by 5 mcg (I think to split half and 2.5 mcg on morning 2.5 mcg at noon is better due to my research). I tried online health portals like Paloma and Push Health but I am still waiting for match and not sure if I can get prescribed. I tried to buy online but the websites either require prescription or do not accept my payment methods. I'm so exhausted friends. I am student in New York now, I will be here for a while. Can someone help me, how can I get one of these Liothyronine medications or prescription?