Sharon,
I was very tired all the time when I was on minocyclin. I later found out my thyroid did not function well. My TSH was 5.08. The doctor put me on Armor thyroid medicine, I gained a lot of energy. Inflammation itself can make me feeling very tired. When I am on Aleve, I am not tired at all.
If you have not checked your thyroid, perhaps you could ask your doctor to get it checked out. Even if you are on thyroid medicine, your TSH could be high due to inflammation and herxing when you are on minocyclin. I'd get it checked every two months.
JB