There is only one private college in Indore which offers the course of BHMS, and the name of the college is SKRP Gujarati Homoeopathic Medical College and Research Center, Indore . Apart from this there are other private colleges in MP which are enlisted below:

Sarvepalli Radhakrishnan University, Bhopal

SKRP Gujarati Homoeopathic Medical College and Research Center, Indore

Madhya Pradesh Medical Science University, Jabalpur

PK University, Shivpuri

RKDF University, Bhopal

LBS Homoeopathic Medical College and Hospital, Bhopal

Sri Satya Sai University of Technology and Medical Sciences, Sehore

Shivang Homoeopathic Medical College, Bhopal

Hahnemann Homoeopathic Medical College and Hospital, Bhopal

Mahatma Gandhi Homoeopathic Medical College, Jabalpur

For more colleges consider the link below:

https://medicine.careers360.com/colleges/list-of-medical-colleges-in-india?state=Madhya%20Pradesh&ownership=Private&degree=B.H.M.S.

For more information regarding BHMS consider the link provided below:

https://www.careers360.com/courses/bhms-bachelor-of-homeopathic-medicine-and-surgery

I hope this helps. Wish you a great day!