In a lot of ways, school choice programs, though perceived as a draconian libertarian policy, are similar to the single-payer policy that many progressives want for health care. School choice doesn't mean leaving disadvantaged parents without a way to afford their children's education.
It means letting the government act as a single payer for education costs, but letting parents choose how to use that money to educate their child in a way that works best for them and their child instead of letting just a few government planners make those choices for everyone.