Seeing your intentions to send your DD to public school and not knowing what state you are in I wanted to suggest looking into what your school district/state offer in the way of public schooling. Here you are out of luck with a gifted child in public school. There are very few to no accomidations made until high school and then the AP classes really won't help more than a really bright child. There are a few schools that will works with a child but in our experience it wasn't enough. Hopefully this won't be the case in your situation but you definately have a challenge in front of you on the school front.
I agree with the friendship advice you've been given. It has been very complex in our situation as well and we are down to few close friends because they just can't accept our children without thinking it's a competition.