Well, brother looking at the present senario, I would recommend you to apply for VIT mechanical

I've personally meet students of VIT, MIT M and SRM and have seen quite a difference in the approach of solving problems and thinking the stuff. On that, I've seen VI students do stands better than the above two. I'm not degrading any college's image nor my colleague's, I'm just saying that at VIT you will have a better peer group and there you'll also have better oppertunities to grow your knowledge as well.. 

Though, all the three options are decent. And I can't say much about Shiv Nadar university, though only heard his name.

Thank You

I hope it helps!