BAMS comes under the Ayush Counselling. Now for the predictor there are only the All India Quota college predictor for the course but not for the state college predictor. A total of 52,720 seats in 914 BAMS, BHMS, BSMS, and BNYS colleges will be offered through NEET 2021 counselling. So you can use the College predictor of NEET, if you want to predict through All India Quota:

https://medicine.careers360.com/neet-college-predictor

To know more about about the NEET counselling 2021 Aayush visit the link below:

https://news.careers360.com/neet-counselling-2021-ayush-website-launched-registration-soon

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