Hey.
Here is a list of all NLUs and their respective cut offs in 2017 for the general category. You don't seem to have much chance for an NLU considering your rank and if you belong to the general category in any allotment lists. But you do have fair chance in the vacancies in the lower or middle tier NLUs, if any.
Hope for the best!
1. National Law School of India University- 59
2. National Academy of Legal Studies and Research- 130
3. National Law Institute University- 351
4. West Bengal National University of Judicial Sciences- 213
5. National Law University Jodhpur- 343 6. Hidayatullah National Law University- 574
7. Gujarat National Law University- 453
8. Ram Manohar Lohiya National Law University- 627
9. Rajiv Gandhi National University of Law- 801
10. Chanakya National Law University- 909
11. National University of Advanced Legal Studies- 826
12. National Law University Odisha- 1023
13. National University of Study and Research in Law- 1051
14. National Law University and Judicial Academy- 1124
15. Tamil Nadu National Law School- 1151
16. Damodaram Sanjivayya National Law University- 1180
17. Maharashtra National Law University, Mumbai- 478
18. Maharashtra National Law University, Nagpur- 1126