As per the information available, through JEE MAINS there are only this two colleges which offers the course of Naval Architecture through JEE MAINS provided below:

AMET University Kanathur - Academy of Maritime Education and Training

Christ Knowledge City, Ernakulam

Apart from this there are 4 colleges which offers admission through GUJCET, CUSAT, KEAM, AMET etc, for those college you can consider visiting the link below:

https://engineering.careers360.com/colleges/list-of-be-btech-in-naval-architecture-colleges-in-india

For more information regarding a career in Naval Architecture, you can consider the link below:

https://www.careers360.com/courses/naval-architecture-and-ocean-engineering-course

I hope this helps. Wish you a great day!