With the rank you're mentioning I'm afraid you have less chances of getting BIT Sindri also with the state domicile of Jharkhand if you fall in general category. But if you belong to reserved category then you have some chances there.

Apart from that you can check out other colleges in other states like

• Techno India Salt Lake Kolkata
• Sharda University Greater Noida
• Heritage Institute of Technology Kolkata
• Shiv Nadar University Greater Noida
• Jaypee Institute of Information Technology
• Army Institute of Technology Pune

Apart from that you can check out the colleges you can get with your rank using the following link

https://engineering.careers360.com/jee-main-college-predictor?utm_source=google-search&utm_medium=paid&utm_campaign=jeemain-clgpd

Hi there!!! Based on your rank(I am assuming you are of general category since you haven't mentioned your category) it is really difficult to get a good engineering college. NITs is really out of option. I would suggest to either go for private colleges or go for another attempt at jee. To help I am providing the link of our college predictor.    https://engineering.careers360.com/jee-main-college-predictor

Best of luck!!!