According to the rank predictors, your rank will be lurking around the range of 27656 to 29656. This is a good enough rank to get you into a college. This doesn't mean you can very much expect of a government seat but yes a private seat is doable. Personally I think, you should also fill in for the 85% State Quota seats. There are thin chances you'll be called in for counselling but we must do what it takes right. Looking at last year's cut-offs it is highly likely you'll get a seat for yourself. Try Karnataka colleges too. All the best to you.