I don't have kids of my own, but was homeschooled all the way through and it was a great experience for me. My parents barely needed to be involved for the high school years except to get me resources I needed or to check my work. For subjects that my parents couldn't teach, they either enrolled me in co-op classes that I would attend a couple times a week or a video-led course that was offered by an instructor that I could contact if needed. This offered tremendous flexibility in terms of scheduling, thus I could take extra time to sort through difficult topics. Co-op classes can be substituted for part-time enrollment in public schools.

The socialization aspect was solved by a combination of things: - Regular involvement in a homeschool group that had meetups and educational field trips. - Extracurricular groups. For me, that was Scouts and Volunteering, but anything that builds skills, involves responsibilities, and is fun will do. - Sports were not my favorite, but there's lots of ways to pull them off. Many larger homeschool groups and co-ops have their own options, and I believe that part-time public school also allows for participation. - The freedom I had in scheduling allowed me to hold a part time day job, which was a whole class of social and life skill building that wouldn't otherwise be possible.