There are no part time medical degree in India. Also as per the information available on the internet, there are no BAMS or BHMS night colleges as well. So if you wish you have to study the course in regular mode and day colleges.

Top BHMS colleges in India are provided below:

Lokmanya Homeopathic Medical College, Pune

National Institute of Homoeopathy, Kolkata

Bharati Vidyapeeth Homoeopathic Medical College, Pune

Government Homeopathic Medical College and Hospital, Bangalore

Smt Chandaben Mohanbhai Patel Homoeopathic Medical College, Mumbai

Baroda Homoeopathic Medical College, Vadodara

KUHS Thrissur - Kerala University of Health Sciences

Top BAMS colleges in India visit the link below:

IMS BHU - Institute of Medical Sciences Banaras Hindu University

Shree Guru Gobind Singh Tricentenary University, Gurgaon

Tilak Ayurved Mahavidyalaya, Pune

Patanjali Ayurved College, Haridwar

State Ayurvedic college and Hospital, Lucknow

K G Mittal Ayurvedic College, Mumbai

For top BHMS colleges visit the link below:

https://medicine.careers360.com/colleges/list-of-bhms-colleges-in-india

For top BAMS colleges visit the link below:

https://medicine.careers360.com/colleges/list-of-bams-colleges-in-india

To know more about BAMS visit the link below:

https://www.careers360.com/courses/bams-bachelor-of-ayurvedic-medicine-and-surgery

To know more about BHMS visit the link below:

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

I hope this answer helps. All the very best for your future endeavors!