Veterans Education Disaster Assistance Act This bill increases Department of Veterans Affairs (VA) Post-9/11 educational assistance for veterans pursuing a course of education at an institute of higher education that is closed for at least four weeks because of natural disasters and who pursue such course, or an alternative course, solely by distance learning. The duration of monthly stipends is extended from four months to the shorter of four months or the period necessary to complete the quarter, semester, term, or academic period during the institute's closure. Such stipend is increased from 50% to the full amount that a veteran would be entitled to if pursuing such course of at an institution of higher education. An additional lump sum is made available for books and other educational costs made necessary by such distance learning.