Hey there, You have scored 370 marks in NEEt 2019 and you also belong to OBC Category. Really that will be very helpful to you while taking admission in Government Funding Technical Institute (GFTI) as some special seats are being reserved for each and every special reserved category. You can get a seat in government colleges in Karnataka at these marks very easily and you can get admission there. But if you are asking about free then you will have to pay some fees like college normal fees would be there without any donation and all. But if you are looking for cheap colleges then you can get in Karnataka. 

 I would personally suggest you use the NEET Predictor and explore various colleges according to your category and home state quota and choose the best one for you as this college will be your future lifeline.

https://medicine.careers360.com/neet-college-predictor?icn=neet-clgpd_landing-page&ici=prediction-section_c360-home