Hey.
Here is a list of all government medical colleges in Tamil nadu and their respective cut offs in 2017 for the BC category under the State quota. Considering your rank you seem tohave a fair chance for a government medical college.

ESI-PGIMSR, ESI Hospital,K.K Nagar,Chennai- 321, 2,030
KanyaKumari Government Medical College- 330,1,838
Rajah Muthiah Medical College, Annamalainagar- 296,
2,669
Coimbatore Medical College, Coimbatore -402,793
Government Dharmapuri Medical College, Dharmapuri-331,1,822
Government Vellore Medical College, Vellore- 351,1,433
Theni Government Medical College, Theni- 340, 1,617
Thoothukudi Medical College, Thoothukudi- 326,1,931
K A P Viswanathan Government Medical College, Trichy -357,1,352
Tirunelveli Medical College,Tirunelveli-361,1,312
Thanjavur Medical College,Thanjavur- 378,1,074
Stanley Medical College, Chennai- 438,504
Madurai Medical College, Madurai- 401,801
Kilpauk Medical College, Chennai- 419,636
Madras Medical College, Chennai-477, 289
Chengalpattu Medical College, Chengalpattu- 369,1,193
Government Thiruvannamalai Medical College, Thiruvannamalai- 319,2078
Government Medical College & ESIC Hospital, Coimbatore, TamilNadu -339,1,651
Government Medical College, Pudukkottai, Tamil Nadu- 311,2261
Government Medical College, Omandurar- 384,1,006
Government Villupuram Medical College, Villupuram- 326,1939
Thiruvarur Govt. Medical College, Thiruvarur -3172,122
Government Sivagangai Medical College, Sivaganga- 315,2173
Best of luck!