Absolutely you have high chances in the best NLUs. With the score you're mentioning you'll get a rank somewhere near 6000-8000. Since NLSIU being the top most college requires you to have a rank of below 3000 for SC and below 6000 for ST so you can definitely expect some of the NLUs like Lucknow, Patna, Patiala, Kochi or Ranchi.

Keep high hopes as you have a decent score. All the best