If you are looking for Veda education alone there are a number of Patasals run by Shri kanchi Kamakoti shankara mutt at Kanchi,Kumbakonam etc.But if you looking for Oriental school which along side teaches modern education along with vedic studies,there is one school in Chennai in West Mambalam run by Sri Ahobila mutt (Vaishnava sect) and also Bangalore has one CBSE school with Vedic studies run by Kanchi shankara mutt as a residential school