Being optimally medicated will help with all the symptoms and generally that means a TSH of 1 or below or wherever it needs to be for FT4 and FT3 to be in the upper part of their ranges, usually FT4 in the upper third and FT3 in the upper quarter. But we are all individuals so that's not set in stone, it's wherever it needs to be.
But GPs and endos don't seem to know this or take it into account unless they're very enlightened and can think outside the box, a lot will only dose by TSH like mine did.
I really don't know what your endo will think or whether he will even consider T3, not all of them will.
Your conversion is pretty good. Your FT4 is 50% through range, your FT3 is 41% through range. Both should be higher in their ranges and FT3 is lagging behind a bit so a bit of T3 could help. BUT so could optimising your vitamins and minerals to help your Levo work better, plus selenium will help with conversion so it would seem send to try that route first.
One thing that might help (or completely get up your endo's nose) is an article by Dr Toft, leading endocrinologist and past president of the British Thyroid Association, that was in Pulse Online magazine in which he said
"The appropriate dose of levothyroxine is that which restores euthyroidism and serum TSH to the lower part of the reference range - 0.2-0.5mU/l.
In this case, free thyroxine is likely to be in the upper part of its reference range or even slightly elevated – 18-22pmol/l. Most patients will feel well in that circumstance.
But some need a higher dose of levothyroxine to suppress serum TSH and then the serum-free T4 concentration will be elevated at around 24-28pmol/l.
This 'exogenous subclinical hyperthyroidism' is not dangerous as long as serum T3 is unequivocally normal – that is, serum total around T3 1.7nmol/l (reference range 1.0-2.2nmol/l)."
If you email firstname.lastname@example.org she will let you have a copy of the article which you can print out and show your endo.
That might get you an increase in your Levo which would be a start.