hobojo... The thyroid tests you need to determine if you are hypo are Free T3, Free T4 and TSH. Don't let your doctor get by with only testing TSH; that's probably what they've been doing, which is the reason you've been "normal" all the time. Also, make sure you get a copy of the report after you have the test done, and keep it for your records... I have all of my blood test reports since 2000, so I can go back and check and compare...
Also, because of your fatigue, you should ask your doctor to test for vitamin B-12 and iron deficiency, both of which can cause horrible fatigue.
As far as Synthroid vs levothryoxine, it's controversial as to whether Synthroid is really all that much better. I, personally, did better on generic levothyroxine than I did on Synthroid, but it depends on the person.
The active ingredient in all the T4 medications is levothyroxine, then each manufacturer adds different ingredients. Some people have reaction fo some of the inactive ingredients, but this is rare.
When I was on Synthroid, my insurance company "did" pay for it, but they paid at lower rate than they paid for the generic. I can't tell you about Synthroid, right now, because I don't take it, but I do take a name brand, called Levoxyl, which in my opinion, is actually better than Synthroid. My insurance does not cover Levoxyl, but I do save, because I have insurance. It only costs me about $38 for a 90 day supply, so that's just over $10/month... I get mine at Walgreen's, so your pharmacy may charge more or less.
My recommendation would be to try the less expensive generic since you are a mom on a budget and see how that works. Many times if the med isn't working the problem is that dosage isn't high not because there's a problem with the med, itself, unless you have symptoms of an allergic reaction such as rash, etc.
Is there some reason you have to wait a month to go to the doctor to get your blood work done, when you're feeling so bad now? That's a long time to keep feeling bad...
Oh I get tired an sleepy alot too, throw that in there I just know is gone hypo.