Hii,as per my opinion yes there is 100 percent chance you get government college easily.
As well per your query out score to pass neet.I would like to tell you it varies every year... It depends on lots of factors like difficulty level of paper and number of students getting that mark etc.It also depends on.. It will be different for Government, Private and Deemed medical colleges.Also it will differ you applying from All india quota 15% or State quota 85%. Cut off of state quota is usually lower than all india quota...No one can predict such things. We dont know how a student is studying in some distance of this vast country. But there are always some safer scores which can be predicted.Overall if you want to know if you are on the safer side or not, try scoring 550-600+.Hope,this will helpful for you.

Goodluck for your future.