I'd really try to get help with her sleep.
My DS didn't sleep much, or at all at 3 during the day, but he did and still needs his sleep at night.
One factor might be that when she's put to bed she's already too tired. Unless you already put her to bed at 6pm I might try to a little earlier.
Another factor is the bed routine. It needs to be relaxing and happy. I used to make almost a game of it with DS, so that the whole tooth brushing, putting on pjs, etc was full of laughter. Sometimes we got a bit physical and then wound up quickly to a more quiet state, and I'd stay a bit with him, chatting about the day, telling a story, just quiet and in the dark.
My point is that if she's stressed and hyperactive, it may help to join her and have a quick active period, that is enjoyable for both, some good hearty laughs, and then winding down will probably be easier, due to the feel good molecules released.
Same during the day.
When DS got too annoying, I'd grab a book and we'd sit quietly on the sofa reading a book.
It still works as he's a teenager, to defuse bad moods to get a laugh somewhere.
They need and crave positive attention and sometimes all they manage is to create negative attention. It's our job to see past that and turn it into positive attention.
It's not easy, though. Because every new stage throws you off and when you think you've cracked it, then everything changes. 
But working towards giving positive attention, IME, is the most reliable strategy.