Dear aspirant,
Hope you are having a good day
Now coming to you query , it is highly unlikely for you to get to government BAMS/BHMS/nursing seat.
Cut off for government BAMS in Bihar for sc category was around 390-41 0.
And whereas for BHMS it has was somewhere 310-350.
But this year cut off might go a little up or down so in that case you can try for government BHMS seat till mop up.
Otherwise you can also go for pvt BAMS/ BHMS colleges in which you can easily get admission.

These are your options for pvt BAMS college -:
1- Shri moti Singh Jagdish ayurvedic college and hospital, Chapra
2- Dayanand Ayurvedic college and hospital siwan.

Below is the link for pvt BHMS colleges:- http://medicine.careers360.com/colleges/list-of-bhms-colleges-in-bihar
Hope this information helps!
Have a great day ahead.