Hello Aspirant,
According to the category rank you have mentioned in the question you cannot get any of the NITs in South India until and unless you deserves the Home State quota as per previous year's cut-offs which you can check from the link given below :-
https://www.google.com/amp/s/engineering.careers360.com/articles/jee-main-cutoff-for-top-nits/amp
Note that the cut-offs are bound to change every year depending upon various factors.
So you can use JEE-Main College Predictor to predict your chances of admission in different engineering colleges of India :-
https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer
I hope this information helps you.
Good Luck!!
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