Hello Aspirant,

According to the category rank you have mentioned in the question you cannot get any of the NITs even after considering Home state quota because your category rank is too high as per previous year's cut-offs, if it would be under 10,000 at least then I would have produced a handful of colleges which you can get but yes I would suggest you to sit for some state counselling because in some of the state government colleges you can get admission on such ranks.

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!!