Even though I am a CSE student at VIT Vellore, I would like to point out some weaknesses of my institution-
NIT Surathkal, on the other hand, is a government college. It has an intake of around 800 students in all the branches, with 120 students in CSE. The institution offers top notch placements. There are no mass hirings. The course fee falls between 1.38 to 1.57 Lakhs per year. College rules are much more flexible.
Thus, based on these observations, I would suggest you take admissions in NIT Surathkal for your CSE program.