BAMS, of-course has the greater potential than BHMS. Ayurveda is getting an edge over allopathy etc.

When it comes to graduation in Ayurvedic medical science, the students will be taught entire subjects that involve knowledge of this field, inclusive of modern science. In this course, the study load for students will be more as compared to MBBS and BHMS.

In BHMS, students will learn only some areas of modern science, while the other subjects will be mainly focusing on homeopathic medicines. When it comes to study load, it will be equal to MBBS or even slightly more as well. Here, it will be difficult for students to remember different medicines for different conditions as per homeopathic materia medica. Of course, with practice, they will find it easier.

ayurveda wins as it takes shorter healing time as compared to homeopathy. However, the time taken for providing cure to a particular condition will be more in ayurveda as compared to allopathic medicine. Homeopathy takes a longer time because different medicines will be experimented on a patient to find what actually the body needs and what works. When talking about healing time, one of these systems work for some conditions well as compared to other two.

Of course, the final consideration to make is which of these courses can provide the ideal self-satisfaction and recommended to accordingly make the choice.

Feel free to ask me in the comment box if you are having any further doubts

hope you find it helpful 

Good Luck!