Your daughter sounds extraordinary. I don't know anything about the nnat2 test, but I would take it only as a single data point. Certainly test again later if you feel the results weren't representative.
I agree that working with a therapist might be helpful, especially if you can find one who has worked with gifted or 2E kids (though this is much easier said than done, for sure).
My daughter is very gifted but we also had a lot of behavior issues and boredom issues starting in preschool which were a result of giftedness, but also ADHD, but it's hard to untangle what is the result of what.
Also have you talked to your local school district? They may offer therapy and preschool services in some cases, and behavior can sometimes get a child in. That would be one more schooling option to consider, as it sounds like you aren't too happy with her current school.