NIT Trichy - National Institute of Technology

There is no point giving a false hope. I would suggest start looking for admission in premier private universities like BITS, MU and Lovely Professional University etc.
Taking a drop would not be a logical step as gap year affects your career a lot.
Dont worry on the placement or Education part. If y

The fees is almost double for NRIs

Jee main 220 aboveBoards 96% CBSE will definitely be enough for general other state.

Can you be specific about which NIT.

There have been cases where a genius makes it through with going for coaching but I would say it is mandatory for a normal student.
A coaching class is trained to study the exam characteristics and have professional who can take you through the process is a well guided way. They also provide you with

For fresher minimum package is the lowest it is around 5.75 and there are fresher people who got 8lpa

For NITs, you need to score 75-80 at least

A score of around 200 and board score of 90% minimum

To get admission to CSE in NIT Trichy you need a rank below 2500. Placement records are very good here

I am not sure of the normalisation for ISC boards. But it is possible for you to get CSE in NIT Srinagar or Nagpur.