If you only could. The problem is that in the US a great portion of taxes are locally raised and spent, and the way of dealing with poverty is to price the poor out of areas where they aren't wanted.
To get access to halfway decent schools you need to move to the suburbs, and what's available there in housing is hugely outsized. You cannot save on heating, cooling, cleaning and enclosed space, nevermind the commute, because that economic option does not exist. So you bite the bullet with everyone else and you cannot choose not to play the game.