This is a totally non-expert comment here, but reading through the descriptions of how your dd words, it sounds like with PRI and processing in general pretty darn high, she is probably 5 steps down the road in her head while her hands and other 'output' facilities such as working memory are lagging behind or have been 'wiped' clean for new work before she has a chance to write down answers or respond to questions...
In short, asynchronous development (classic gt stuff, I think)
I wonder how much of it will line up better as she gets older, and with more practice, AND with feeling more comfortable in her new school and with new/real academic challenges. I know I can get completely brain-addled when I am stressed and it sounds like she is a bit stressed, so I guess I would say:
Work on de-stressing, emphasizing that school work is not about perfection but trying and learning. Emphasize that everyone has strong areas and weak areas and our best focus is to highlight strengths while working on weaknesses (not beating ourselves up for them smile ... and see if that gets her to back up just a bit, just enough to line up all her big and fast thinking with her (currently) slower output abilities. It all sounds fairly normal in some ways.

Hang in there! I know sutff like this can get pretty frustrating, we have similar issues here with ds, big thoughts, high creativity, but if something doesn't float his boat, it's like pulling teeth to get him to move on it. Ug!!
Otoh, as he gets older, some of this is getting smoother, so light at the end of the tunnel? I hope wink