Schools Not Shelters Act This bill prohibits schools that receive certain federal financial assistance from using their facilities to shelter certain non-U.S. nationals ( aliens under federal law) unless the individual pays for such shelter. Specifically, this prohibition shall apply to sheltering individuals who are (1) unlawfully present, or (2) subject to removal proceedings or a removal order and are not being detained by the Department of Homeland Security. Under this bill, if an elementary school, secondary school, or institution of higher education receives financial assistance from a program administered by the Department of Education, that school or institution may not use its facilities to provide shelter to such individuals unless the individual is housed in a dormitory and pays the amount normally assessed to residents of that dormitory.