Scarlett, I was addressing the collection of posts with some opinions. I think if use a few of the good suggestions people have given you into play,plus your own good ideas and knowledge of your child, things will be fine whatever you do.
We have three kids with different personalities and propensities for social intelligence. It would be quite complicated. We talked to one son about moving up a grade in the same school and it was obvious that just that was going to be complicated. He is reading and showing in depth comprehension at least 5 grades ahead and I could easily have him two or three grades ahead in math and science between now and the end of summer.It is not off the table yet either.
I almost started a thread on the topic of moving the child up, so this thread is interesting to me.