Hello,
Some colleges in Hyderabad do offer integrated courses that can culminate into a BBA + B.Des course, although the two courses can be very specific and not very common. However, some colleges do offer flexible combinations or specializations leading to management and design fields. Such options include

Woxsen University is for innovative curricula of design and management, Woxsen allows interdisciplinary learning that combines business education with creative design.

ICAT Design and Media College – Sells mostly design courses, but could offer courses with a way to integrate business management skills with design courses.

Anurag University – The institute offers courses which bear a path that goes well together with both design and management.

Sometimes, a student might be interested in reaching out directly to a college to discuss custom or flexible dual degrees because this specific combination will not always be listed. Such institutions promote interdisciplinary education and provide benefits about a BBA-B.Des dual course.