Purple_Mouse, the problem is not your TSH as such, the problem is that you are not converting that T4 you're taking (Levo) to the active hormone, T3.
T4 is a storage hormone, it doesn't do much for you. And TSH only stimulates the gland to make more hormone. It doesn't directly affect the way you feel. It is high because your FT3 is low. And it's the low FT3 that is making you feel bad. It should be up the top of the range, but yours is right down the bottom.
Ranges were only ever intended to be a guide, not set in stone, as some doctors see them. Just because your level is 'in range', doesn't mean you're well. It's where in the range it falls that is important.
So, the problem you now have is that even an increase in Levo probably isn't going to help much - your FT4 would have to be way over the top of the range for you to have enough T3 to feel well.
So, what you really need is some T3 (Liothyronine) added to your Levo. But as your doctor obviously doesn't know very much about thyroid, there's not much chance of her prescribing it. What you need is an endo that prescribes T3 (just so you know what to look for). Hopefully, you can find one on Louise's list of good endos - ask for it when you email her for the copy of Pulse.