Hey Ren! 

Here are some of the best industrial design colleges in India - 

IIT Bombay 

IIT Delhi 

IIT rourkela 

Nirma university Ahmedabad 

Symbiosis international university Pune

Chandigarh university Chandigarh

Bits pilani Goa

School of planning and architecture Delhi

Avantika university ujjain

Global open university deemapur 

As for transportation design colleges - 

National institute of design Ahmedabad

Industrial design center IIT Bombay

MIT institute of design

Dypdc school of design 

The design Village noida

Wish you all the best!