You are describing my daughter when she was two years old. We ended up not letting her nap, putting her in a lot of things that involved lots of physical activity (gymnastics, swimming, just running, etc) and allowing for "quiet time" each day where we read to her, or we listened to calming music etc. We also ended up with lots of timeouts for both her and the grown ups, setting limits on what type of hyper activity was acceptable in our house and how to handle the overwhelming emotions and feelings she was going through. And then magically one day she literally got a hold of herself and she was the sweetest little girl you could have imagined, and grew out of her "terrible twos."