Your FT3 is not what I'd call "normal"... It's slightly low. The only reason that it's as high as it is probably results from your body converting as much T4 as it can into T3, causing the T4 to be very low.
You seem to be one of those people who wants desperately to believe that "the doctor is always right". It's true that I'm a person who always believes the doctor could easily be wrong until he proves himself to be competent and trustworthy. A good balance of trust is somewhere in the middle of you and I, I think.
But your doctor apparently knows nothing about Hashimoto's thyroiditis, and that's what you have. Your mother had it [I looked at your past posts to refresh my memory.], and you have it too. You will eventually have no thyroid function left, just like your mother.
It's great that changing your diet is making you feel better. (Although I am surprised that kelp isn't tearing you up... all that iodine is usually very bad for Hashi's.) But it won't work forever. And aside from the way you feel, the low hormone levels you have are allowing internal damage you may not even realize is happening. Low thyroid levels cause bone loss, heart damage, and high cholesterol. You've mentioned that you've had a lot of surgeries and other medical treatments; it's likely that at least some, if not most, of these were caused by those low thyroid hormone levels.
Many doctors would have begun treating your thyroid a long time ago. Don't you think it's time to find one of them before more damage is done to your long-suffering body?