I have had numerous symptoms of both hyperthyroidism and hypothyroidism including neurological symptoms. I used to wake up with tingling/numbness in my hands/arms due impaired glucose tolerance (showed up on an oral glucose tolerance test) which in my case was caused by hyperthyroidism.
High glucose excretes magnesium so you end up also with low magnesium levels (this deficiency causes anything from pain to muscle cramps). I find magnesium deficiency symptoms are worse in the morning in particular. I have read magnesium levels are lower in the morning and afternoon. But to add, hypothyroidism causes pain and muscle cramps too.
Even though you don't think your labs equate to how you feel, it would be helpful for you post them, so we can see what your levels are. That's all we have to go by, since your symptoms could apply to either. Please be sure to post corresponding reference ranges with all labs posted.
There are a lot of things that can cause the numbness/tingling, including, both, hyper and hypo... Have you have you had vitamin B-12 tested? B-12 deficiency can cause that kind of exhaustion - "too tired to sleep"... Do you take magnesium at all? Magnesium deficiency can cause the aches/pains you describe, plus it can affect your sleep, as can vitamin B-12 deficiency. Magnesium is also "calming". Also, have you had any adrenal testing?
Those are just a few things we can discuss after we have a look at your thyroid labs.