Both are the good options & has scope in its field. It depends on your interest & capability. BAMS deals with the study of modern as well as vedic medicals whereas BHMS deals with the homeopathic medicines only.

Homeopathy medical studies are also being adopted very fast by the young students generation among all medical courses. After completing this degree you are eligible to become a doctor in the homeopathic medical field.

The scope of Ayurvedic is overlapping to the other medical system not only in India but also in the world, Many organizations are working in the manufacturing and research field in abroad are requiring the professional in this field.

You can choose as per your interest.

Good Luck!