Hello Aspirant ,

With 343 marks in NEET your rank will be 180000 and with this rank getting BAMS in a  government college is almost impossible as around 500 marks are required for this course and almost all private colleges will have very very high fees so private college will not be a good option for you as well, but you can give a try in your state counselling you might get a seat but chances are very very low.

Also you can use NEET college predictor tool :

https://medicine.careers360.com/neet-college-predictor?utm_source=qna&utm_medium=neet_cp

Hope this helps.