B.A.M.S.

See the eligibility cut off for NEET to apply for various medical courses was 135 marks for general unreserved category last year and 107 marks out of 720 for reserved category like SC, St, etc. and to get into a good government college BAMS course, you'll need to have 420-450 and above marks in NEET. Having said this cutoffs also depends on various factors like number of candidates appearing and also the paper level difficulty, also the state you reside in, also the college you aiming for.
So as of now prepare on focusing more and more and once the marks and ranks are our.
Hope so it will help you.
If you like please upvote the answer.

No, sorry you don't have any chance of getting a seat in medical college. You have scored too low for a seat in medical college. Even if you try for management or recommendation seats you will not be allotted for seat. If you don't care about low rated colleges, then give a try in low rated private colleges. But, don't keep any hopes
If you don't get a seat, try hard for next time and see that you will not face the problem again.

As per your expected marks scored in the NEET exam, your rank will be above 4 Lacs and you might not get a seat in the All India Quota, however, there are chances for you to get admission into MBBS BDS BHMS B.A. MS or any other private colleges or government colleges as well under the state quota, this will be basing upon your category, but it is not compulsory, you might get it basing upon the vacant seats.

The fee at Mahaveer College of Ayurvedic Science for BAMS - Bachelor of Ayurvedic Medicine and Surgery is INR 2,25000 per year.

Here is the cutoff based on different categories
EWS- 50th Percentile 720-138
OBC- 40th Percentile 137-108
SC- 40th Percentile 137-108
ST- 40th Percentile 137-108

Yes, in every college there are few seats reserved for government and rest are management seats. These are few colleges.
SDM institute of Ayurveda and hospital
Rajiv Gandhi university of health sciences
Hillside academy Bangalore
Goutham college
Bapuji Ayurvedic medical college and hospital
Sri Ayurvedic B.A. MS college Bangalore.

This is a pretty decent score but the situation could get complicated if you aspire central government University you can easily get private universities or star government Universities.

You can get a government college at low fees.

The score 250 is very low even to get admission in B.A. MS college you cannot get admission with such a low score.

The cutoffs does not remain constant but you can get B.A. MS college with 354 marks you can expect B.A. MS college with 350+ marks.