Parochial schools are often worse or the same as public schools as far as the academic content, as you noted above. We homeschooled for a year, and it was wonderful. Although my ds didn't like me as a teacher, so I let him know that *he* was his teacher, I was merely a facilitator-- and asked him what he wanted to learn. It worked well to heal some of the wounds from him previous (horrible) school experience. I would advocate for considering short term homeschooling. I know most homeschoolers say that the biggest benefits come from the long term, which is true, but we take it one year at a time. Sure school is going well this year, but we reserve the right to reevaluate next year and make changes if need be.
This year he wanted to go back to school (yea healing home school)... but often misses aspects of hs. But he loves his peers, and is doing alright in school now.
He could easily he at least a grade ahead, but like your child, he doesn't want to skip. And I don't know if it would be the best for him. That is why homeschooling can be such a wonderful thing, even if it is for the next few months, or until second grade when she can then be skipped. hth.
