Hello,
IIM Rohtak and Indore offers integrated MBA for which admission is done through IPMAT, in addition to this even IIM Bodh Gaya, Jammu, Ranchi offer this course through JIPMAT, other equally good universities you can consider are Nirma University, Jindal Global Business School, NMIMS offers integrated BBA and MMS, and there are Mumbai University, Lucknow University, NIIT University, Kurukshetra University etc which offer integrated MBA.