Hello,

if you want to do integrated course then you have to do full-time course. Colleges don't provide distance education for it. LPU and Nirma University will be best option for BBA+MBA integrated course.  Other colleges you can go for Symbiosis University, NIIT University.

if you want to do distance learning then you have to do individual course. but it will be negative point as companies recruit candidates who have done full-time UG course.  They accept distance learning for PG course.

Hope it helps!