With a score of 555, your rank might be approximately between 19,000-22,000. This is an expected rank range: https://medicine.careers360.com/articles/neet-result-marks-vs-rank . Now regarding the Colleges that you may have a shot at, you have a chance in:

• Dungarpur Medical College
• Jhalawar Medical College

Having said that, this is based on 2019 data and cut offs change every year. Cut offs change every year depending on various factors such as no.of Candidates appearing for the exam, no.of Candidates qualified, top NEET score and difficulty of the exam. For a complete list of colleges that you may have a shot at, please use our College predictor: https://medicine.careers360.com/neet-college-predictor?icn=QnA&ici=qna_answer

Hey dear, seeing last year's cutoff which went very high that even students getting 500 marks were unable to get a govt. Medical mbbs colleges. Since your marks seems above 550, so there are good chances of admission in mbbs under state quota, stay tuned to the counselling. You can also use college predictor through this link:

https://medicine.careers360.com/neet-college-predictor?icn=QnA&ici=qna_answer