Hi aspirant, since you have mentioned your EWS rank i.e. 14757 in your JEE mains exam, so let me tell you that on this category rank it is somehow possible for you to get into any one of the lower NIT's. But their also one problem may arise i.e. your desired branch it may vary there.

For that you may try the below mentioned link to clear you doubts of opting colleges based on your rank range;

https://engineering.careers360.com/jee-main-rank-predictor?utm_source=qna&utm_medium=jee_rp

Thank You.