This one - posted at Mises.org - is a golden oldie as it was published in 1999.
Andrew Young and Walter Block even take a poke at the great Milton Friedman. Why? Because the essence of the pair's argument is as follows:
"Contrary to most modern arguments claiming to favor the 'privatization' of schools, we do not view the government contracting of private companies, the issuance of government vouchers for payment of education, or the direct subsidization of private institutions as free-market solutions.
Indeed, the only free-market solution is the abolition of all governmental ties to primary education."
Block and Young rationally, intellectually work they way through each argument in favor of government schooling.