HELLO ASPIRANT
Since you did not mention your category so let us take it as general by default.
the chances are very less for getting any NITs but you can go for state counselling.
NO worries since you have an april attempt left just try to bring a percentile above 97+ so that you can get some good nights with a decent branch.
there are various exam like BITSAT,SRM,COMED-K etc you should try these too
visit this link for all engineering entrance exam
https://engineering.careers360.com/exams

But if you are curious to know that which college you might land into with your percentile then you can use the college predictor link which has following features;

JEE Main 2020 College Predictor

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ALL THE BEST FOR APRIL