593 is really an amazing score in Neet which can fetch you a government college. You have fair chances of getting a seat in government college through all India quota if we go through the cutoffs of previous year. But in Delhi it would be difficult to get as the cutoffs of all the Government Medical colleges is above 600 marks. But you can expect Colleges in other states like Sidhhartha Medical College Vijaywada, RGIMS Ongole, Assam Medical College, GMC Bettiah, Lt. L A M Govt. Medical College, Raigarh, GulbargaInstitute of Medical Sciences, GMC Datia and many more. The list is quite long so you can check the cutoffs here
http://medicine.careers360.com/articles/neet-cut-off-for-government-colleges
Check here the cutoffs of all govt medical colleges through all India quota. But keep this is mind that these are based on previous year cutoffs and this year it might change. I would suggest you to use Neet college Predictor tool to know where you have good chances of getting admission
http://medicine.careers360.com/neet-college-predictor?icn=QnA&ici=qna_answer