I would suggest you to apply for IMUCET and get admission in Indian Maritime University as this is a central university and provides great good facilities and fee structure is very reasonable. There are other colleges also available but IMU would be the best one. Apart from this, you can try for CUSAT CAT and Neotia University is also there which accepts WBJEE score.

Also, you can check other colleges under IMUCET by going through the below link-

http://www.imu.edu.in/images/B%20Tech%20Marine%20Engineering.pdf

Good Luck!!!