I don't think any of the options stated above are worth it. They will consume more time, and cost you a lot of money and effort. So rather than partial drop, I recommend you only drop the year and fully concentrate on the JEE syllabus. Now you have JEE exams and NEET twice a year which gives you more chances of cracking it. I have listed 4 probabilities and their possible consequences:
Not dropping a year and studying in an NIT and preparing for JEE along with it and not being able to crack it is Waste of time and an excessive study load.
Studying in an NIT and preparing for JEE along and cracking it: Only a waste of money
Fully dropping a year and concentrating entirely only on JEE and not being able to crack it is Waste of time but you are lucky enough to give a second shot the same year.
Dropping a year, fully concentrating on cracking the JEE exams, and cracking it: Your time and efforts are well invested.
The ultimate choice is yours. But dropping a year is better than a partial drop I guess.
If you are interested in IT Industry then without a second thought go for JAS Noida IT branch. This is because you cannot opt for upgrading your branch from textile to IT in NIT Jalandhar.
But if are interested in any other branch go for textile in NIT Jalandhar.
Taking textile at NIT Jalandhar will give you an additional benefit of rectifying your choice is you find you want to change the branch.
On of my friends told me of a person who ranked 60000 in JEE Mains. He got IPE in spot round, scored a CGPA of 9 and got into CSE. Such miracles require a lot of hard work. Being an NITian won’t hurt you in the long run.
The general answer would be no, it’s not recommended you join the textile branch at NIT Jalandhar. However, you can join it under certain scenarios like:
If you have plans of moving abroad and pursuing it further. Because in India there is little scope for this course.
If you are planning to change your branch after a year by internal sliding. But for this, you should get an excellent CGPA (above 9).
If you plan to sit for CAT or UPSC then the branch does not really matter.
If you don’t want to drop out.
In every other case, I’d recommend you join a lower-ranked NIT but in a better branch than textile. Don’t just go for rankings. The branch is also crucial.