BAMS

It is a subject taught in BAMS. It is the important basic clinical subject of Ayurveda. Kayachikitsa is the foremost branch of Astanga Ayurveda.

First of all you need to clear your 10+2 with physics, chemistry and biology with minimum 50 percent mark single and aggregate, then you need to qualify in the entrance exam such as NEET or institute level entrance examination and secure the merit required as per the institute's requirement.

It's difficult to get admission in government medical colleges at this score. For government medical colleges, your score should be 400+.
All the best.

Dermatology is a specialisation which you can get only after MBBS.
You cannot get it after any alternate medicine degree.
But extensive remedies are available in Homeopathy for skin issues.

I would say you should give it a try. There is a big chance for you to be selected. Apply in multiple colleges and wait till the last cutoff list.
All the best.

310 marks for OBC category is a very good score to get admission in a college for BAMS, but exact cut-off score can't be predicted as BAMS admission is happening for the first time through NEET.