Training will help! It will help focus her energy and (as already mentioned), will engage her mind. I would strongly encourage you to sign up for classes with a trainer who is experienced with herding breeds. Get some solid basic obedience skills in place and then move on to some activity(s) that interests you both. I enjoy agility and tracking and sheep herding. There are so many activities you can get involved in with your dog.
And...it does sound like she needs more exercise. It sounds like you have your hands full, but your pup sounds like a do that needs more exercise than she is getting.
Although I know that it can be overwhelming, remember that the effort you put into her now will pay off for the rest of her life.