I think you should take MIT Manipal, without a doubt.
Scores of alumni and industry employees go on to claim that MIT graduates do much better than a lot of their IIT and NIT counterparts. This is because of the well rounded development one receives at MIT.
The life at college is hassle free, unlike other private colleges, with their baseless rules. The infrastructure is amazing, and it is very easy to follow up on hobbies while at college. Sports facilities at MARENA Manipal are one of the best in the subcontinent.
Coding culture is amazing, and clubs like ACM Manipal, LUG, MIST, IECSE tend to help develop coding skills of students further.
Numerous competitions, hackathons and business contests are held to identify ideas that can change the world. Some of these include Microsoft Code Fun Do and AngelHack, held annually. An array of startups are lined up to be launched year after year.
Student projects like Parikshit (student satellite team), MRM (Mars Rover Manipal), AeroMIT, SolarMobil, MANAS, RoboManipal, Formula Manipal are doing amazingly well and some are among top 5 University teams in the world.
Placement statistics are getting better with every year, with companies like Microsoft, Amazon, Goldman Sachs, Deloitte, SanDisk, SAP, Juniper Networks, Dell, Cisco, Seagate are among the long list of conglomerates that recruit annually.
Students going for higher studies are increasing every year, with MIT Manipal alumni in colleges like MIT Boston, Harvard University, Stanford, UPenn, UCLA, Cornell. There are loads of coaching centres in Manipal that help GRE/GMAT preparation, namely Magoosh, Princeton Review, TIME, CollegePond.
Alumni such as Satya Nadella, Rajeev Suri have done the college proud, and year after year, the college produces exceptional industrialists and engineers.
One major importance of MIT is the number of students here. While in colleges like VIT and SRM, the total strength of first year CSE batch is 2000, while in MIT the strength of all first years (i.e. across all branches) is 2000. Mass produced engineers do no good to the industry.
Another major factor is lack of management quota in MIT. 95% of the admission in each branch is by merit (via MUOET) and 5% by NRI quota. Those of you that are delusional enough to believe that NRI quota is the same as management quota, let me tell you that even NITs have an NRI quota wing, where fees is mind-blowingly high. Lack of management quota at MIT helps improve the quality of students.