Yes, with 200 marks in NEET, you may get admission to private BAMS colleges in Bangalore, especially under management quota.

Colleges you can try:

Adichunchanagiri Ayurvedic College

Sri Kalabyraveshwara Swamy College

Atreya Ayurvedic College

SDM Institute of Ayurveda

Sri Paripoorna Sanathana Ayurveda College

Fees: 1.5–2.5 lakh/year (approx)

You’ll need to register for Karnataka AYUSH counseling and approach colleges directly for management quota seats.