...If you want these things, then you will pay for a good public education.
If you want those things, you will stay as far away from the public school system as you can manage. The public school system hampered my education and employment prospects, and nearly shut them down entirely. My mom taught me all the useful stuff at home, before the public school system started undoing it all.
I was semi-proficient in the three R's by the time I was 5. My learning pace slowed as I proceeded through the grades, and my desire to learn was all but dead by the time I graduated from High School. The public school system killed it.
My major learning interests focused around computer programming, which I had to learn completely on my own. Even the programming classes in High School (which were experimental at the time) discouraged exploring programming beyond the course's tiny box, and taught students NOTHING. I had to teach the programming teacher how to program. It was ridiculous, and was par for the public school course.
Homeschooling can hardly do any worse than public schooling.