NITK Surathak is one of the best NITs, it ranks 16th NIRF Engineering 2020 Ratings. Surely the mechanical department is commendable as well. To answer your query, more information would be needed, such as your JEE Rank, Domicile which will help us to know if you are eligible for Home State quota or not.

Meanwhile, based on your rank you can also use the JEE Main College Predictor

https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer