As with most things, it depends. I'm assuming you have exhausted options for acceleration or other "Non-spa" like treatment at public school.

Our kids are at a parochial (private, but not exceptionally pricey) school. They've been very good with flexibility re: acceleration and always listen to our concerns/suggestions.

We tried a pricey (11k/year), highly touted private school w/DYS OS. Disaster. No flexibility, they were sure he wasn't gifted, nasty to us (the Tiger Parents... and they were dumb enough to leave their internal emails about it in his file, which they gave us when he left). I'm convinced there is as much variation in schools as there is in people (ah, because people run schools!).

In your case, are there other options?