Hello,
you should definitely check out for Private colleges. Usually the academic qualifications of professors' level in Private colleges are far better than those of Govt colleges. You will find better teaching staff (Professors) in here as they have a strict criterion for selection of teachers. They also have a good industrial relation with the companies therefore placements will not be an issue.
you can do your M.Tech from a private college/ university. These days we have many reputed engineering colleges in India like LPU, Amity, Sharda etc which offer scholarships to meritorious students as well.