Homeowners still pay taxes.
1st option is to vote down school budgets, 2nd would be to try to implement a voucher per child to be used to educate the child, wherever that may be.
A big problem is the mindset that all schools are fucked up except mine, and parents are afraid the best parts of the school system, for them, will be cut if budgets are voted down. Sports/extracurricular is always the first threat to be cut, and that may involve programs that benefit the student and the community more than pet academic projects. Extracurricular stuff is a big factor in placements in good colleges, and a good college ROI is substantial. Say that from experience.
Biggest boondongle is Speical Ed, IMO. Each local school is replicating services, expensive services, that could best be covered by a cooperative. One central school in an area for Special Ed, which can be broken down further by type of requirement such as physical or emotional would provide better services. That's a no-no for implementaion, however, for various reason and some may be valid.
Vouchers have the liability that some parents will use the voucher for things other than education. There are parents who shouldn't be homeschooling. One example is using the kids for work. I've even seen the foreign exchange program abused by adults who sponsor an exchange student just to get someone to do chores. That type of abuse would plague vouchers, I think.