Hello,
As you mentioned with general category and 34050 rank, your chances of getting a decent government college in your state through state quota(85%) are negligible as last year last admission was for 25000 rank.
However you might get some good private medical college in your state through state quota.
As the admission to medical colleges based on NEET is given unsed All India Quota(15%) and state quota(85%).

However cutoffs change every year depending upon level of toughness of exam. So hope for the best and follow the counselling process.

Follow this link to better predict your college-
https://medicine.careers360.com/articles/neet-college-predictor/amp
Good luck