Hello student,
You have not mentioned your home state. But, With a rank of around 4,400 on St category, you have chances of procuring a seat in the following NIT's when comparing the results of previous years, provided you belong to their correspondimg home states.

• Nit tiruchirapalli
• Nit Kurukshetra
• Nit Srinagar
• Nit Jalandhar
• Nit Hamirpur
• Nit Delhi
• Nit nagalamd
• Nit agartala
• Nit surat

The above mentioned results are based on the trends of the past years. Scores and ranks vary each year with difficulty level of the question paper and availability of seats, by which nothing can be predicted for sure as trends change every year.
Good luck