Another potentially helpful thing you can do is start tracking your body temperature. A $5 digital oral thermometer from the drug/grocery store is all you need, and a spreadsheet. On its own your body temp may or may not reveal anything, but many people on thyroid boards use it as another way to help see if they are responding well to thyroid meds or not, and it's super cheap and easy to track yourself. Plus you don't have to wait to get bloodwork done to see whats happening. You will be able to track in real time.
The general idea is to take your temp as soon as you wake up while you are still lying in bed, then after breakfast, again in the afternoon, and in the evening. Temps below about 98.0 on waking indicate hypothyroid, and the afternoon temp should be 98.6 or up to low 99s, and then a little bit lower in the evening. Consistently low temps are hypothyroid, whereas temps all over the place up and down might indicate adrenals/cortisol issues.