Most of the Indians send their children back home to pursue whatever academic courses they are interested in. Some even send to schools in Canada or UK or US for higher education.
As far as good Engineering schools in India are concerned, I have knowledge of only 1 though there are at least half a dozen more of equal or better calibre. This is the Manipal Inst. Of Technology in Udipi (Karnataka) and has hoards of Gulf Indians' kids study there. It costs quite a bit for a 4 or 5 yr course. But the hostel facilities are better than those of other engg colleges and the food is also better. Education facilities (lab etc) are also good.