Hey,

These are some of  good colleges you have in India for product designing-

SWARRNIM STARTUP AND INNOVATION UNIVERSITY ( SSIU) , GANDHINAGAR

NATIONAL INSTITUTE OF DESIGN ( NID), AHMEDABAD

PEARL ACADEMY ( PA) , DELHI

NATIONAL INSTITUTE OF DESIGN ( NID) , BANGALORE

ARCH ACADEMY OF DESIGN ( ARCH) , JAIPUR

MAEER'S MIT INSTITUTE OF DESIGN ( MITID) , PUNE

INDIAN SCHOOL OF DESIGN AND INNOVATION ( ISDI MUMBAI) , MUMBAI

VOGUE INSTITUTE OF FASHION TECHNOLOGY ( VIFT) , BANGALORE

INDIAN SCHOOL OF BUSINESS MANAGEMENT & ADMINISTRATION ( ISBM) , BANGALORE

UNITED WORLD INSTITUTE OF DESIGN ( UID) , KOLKATA

PRESIDENCY UNIVERSITY , BANGALORE

ANANT NATIONAL UNIVERSITY ( ANU) , AHMEDABAD

DOON UNIVERSITY : SCHOOL OF DESIGN ( DUSD) , DEHRADUN

PES UNIVERSITY ( PESU) , BANGALORE

Hope this helps.