Honestly, I'm sort of anal about things sometimes, so it just may be that there isn't any thing to call it that I'd be happy with. I suppose that living is about as close as it gets. Maybe being a family and growing and hopefully maturing. But even those tend toward snobbishness as answers and turn us back to those granola hippy moms.
Whatever you call it, a main motivation for this thing we do with our kids instead of the school system is to give those kids a better start. Regardless of our political and religious drives, I think we could all agree that giving the kids a better start is at the end of many of our reasons.
So maybe that's my new answer. Maybe it will go something like this.
Random Person: So, where do you go to school?
Big Brother: We don't go to school.
Random person: Oh?
Me: No, we're giving them a head start by doing the job right.
Random Person: Hmmm?
Me: Don't worry about it. We homeschool.
Random Person: Ooooohhhh . . .(confused look) . . . so you go to school at home?
Me: Ya know, the very concept of school is . . .actually, yeah, we homeschool. We go to school at home.