I guess I should have read your post more clearly! I agree with Cricket, that you probably don't need further testing unless you have a real reason for it. If you are planning to stay with your current school district, further testing may not have any effect on what they can/will offer. They already know she's reading at high levels.

You can try to use the scores they have already given you to advocate for something more - subject acceleration or additional differentiation. Remember that if her reading scores are so high, any classes with a heavy reading component will also likely be pretty easy for her (social studies, e.g.).

Of course, if you have spare money, it is always very interesting to get a further private evaluation. Psychologists who specialize in gifted kids can also help you determine what types of school situations might work best for your DD. And as you mentioned earlier, you are having some issues with your DD's anxiety.