Hello dear, 

As you have secured AIR  63266 ,you have less chance to get seat in any good NIT with good branch but you can get seat in some branches of following nits -

NIT HAMIRPUR

NIT SILCHAR

NIT SRINAGAR 

NIT JAMMU

For more colleges you can check the link provided -

https://engineering.careers360.com/jee-main-college-predictor?utm_source=C360&utm_medium=qna&utm_campaign=jee-main-college-predictor