Does she get good exercise? Maybe a daily swim practice or something would get some of that out? Even laps.

It's not quite like that here, but one of my kids is a sensory seeker and tends to make random noise, while I am a sensory avoider. Not a great combo. She also has some ADHD-like traits but shows great attention and does beautifully in school, so we think she is just wired kind of high, if you know what I mean.