Dear Aspirant

See, you have got only 3% less for 60% in 12th boards but for AIIMS, an OBC candidate should have minimum aggregate of the marks  in (english+physics+chemistry+biology) is 60%. So, why not give exam for any (one or two) of the subjects instead of all the subjects(12th again). So, I would suggest you to go for NIOS admission where you don't have to take admission for all the subjects and the admission is through online with less fees and the examination centres of NIOS are also available in Rajasthan. In addition to that, you'll get to go for AIIMS coaching without any burden.

https://www.nios.ac.in/default.aspx

Hope this helps you.