This is all great news!
PCP's can often be better at treating thyroid disease than endos.
Please know that it's unrealistic to expect complete symptom relief after starting meds. In fact, if your starting dose was only 25mcg, you might find improvement with some symptoms and the development of new ones. This is typical.
It's great that you will be getting labs in 6 wks. - that's the amount of time it takes for your levels to stabilize after starting meds/dose adjustments.
It's very clear to us that you have hypothyroidism so, if your starting dose doesn't accomplish much, I'd still be inclined to tell the doctor you feel ever-so-slightly better and push for a dose increase after your next set of labs.
Your treatment goal should be to attain the thyroid hormone levels most healthy people have: FreeT4/FreeT3 in the upper half/upper third of the range, regardless of TSH.
Kudos to you for being the squeaky wheel!
Please keep us posted.