We have met several families during our time on the road who are doing this. My wife is a retired educator and thinks the parents were doing excellent jobs educating their kids. One family had six boys - several of them adopted. They travel around the country doing community service in addition to home schooling. (Dad works remotely.) One of the boys was graduating high school a year or two early and had already gotten an appointment to the USAF academy in Colorado Springs. I don't think I have the skills or aptitude, but my hat is off to those we've met who do.
Rob