Hyy kartikeya, 

According to our me, if you have no chance of getting a National law university (NLU), And even if you have a chance then you have to wait till last list of lower NLUs and if their seats are vacant you'll get that

About good private law colleges, according to me is

According to me:
1. O.P. Jindal Global Law School, Sonipat.
2. Symbiosis Law School, Pune.
3. Institute of Law, Nirma University. Ahmedabad
4. School of Law, Christ University. Bangalore.
5. Symbiosis Law School, Noida.
From the experience I have gained from the Law School Circuits, the above colleges are the best private colleges in the country.

If further doubts, do comment 

I hope this helps