One of my cousins was in the same situation. He had very few options, mainly VIT, Tezpur University, and few NITs. He did some research and found that Tezpur University is considered the best central government institute. After talking to some students of the institute he also learned that the institute is great although the placement rate is not that good. It is a decent option if you want to pursue research. 

His focus was placements. So, he chose VIT, Chennai and now he is a proud alumnus of the institute. 

Here is a brief comparison of Tezpur University and VIT.

So, choose an institute based on what you want out of your degree.