Yes you can get the admission but we cannot accurately predict the exact college. You have to go for the counselling rounds and after that you would be able to get the college admission. Also you can go for the MBBS course also as you have good marks in NEET. Also according to the website one must appear for the entrance test conducted by the NIA known as DSRRAU for the admission in BAMS. The link is attached where you can find more about the admissions in NIA in BAMS and the entrance exam which will help you to get the better idea about the process. 

https://collegedunia.com/college/6422-national-institute-of-ayurveda-jaipur/admission