Hi

As per last year closing ranks, the highest closing rank in Private Medical Colleges was 61321 at NIMS University, Jaipur. So in accordance to that you have very low chances to make it to Private Medical Colleges.

But you can look for Private Dental Colleges like

Daswani Dental College and Research Centre, Kota

Eklavya Dental College and Hospital, Kotputli

Geetanjali Dental and Research Institute, Udaipur

Pacific Dental College and Hospital, Udaipur

Pacific Dental College and Research Center, Udaipur

Rajasthan Dental College and Hospital, Jaipur

Surendera Dental College and Research Institute, Sri Ganganagar

Vyas Dental College and Hospital, Jodhpur.

You can always check this about NEET 2019 Cutoff Rajasthan in a greater detail through this link: https://medicine.careers360.com/articles/neet-cutoff-rajasthan.

Best of Luck. 

Hope this helps.

Cheers!