Hi aspirant, since you have 97 percentile in JEE mains so according to that your rank must lie in between 44k-49k and on this rank you may get into following NIT's and IIIT's:

• NIT, Andhara Pradesh
• NIT, Raipur
• NIT, Arunachal Pradesh
• NIT, Srinagar
• NIT, Jalandhar
• NIT, Kurukshetra
• NIT, Rourkela

etc.

If you want to choose between BITs and NIT, Goa then if you want to pursue B.Tech with better facilities with comprising off high costs for this  you can choose BITs or else NIT Goa is not bad choice too.

Thank You.