Hello aspirant , it is about your interest. You would flourish only when you study with interest. Without being interested you cannot rise and shine ina my field.  Now if you are having same interest for both the fields , I would suggest you to go for EAMCET, rank is comparatively better. In case if NEET you only have the option of private Medical College, when we compare private Medical and Private Engineering college , I would suggest you to go for Private Engineering college. If you study well you would get a good job. After that you can go for Government exams as well. Like Civils .

Hope it helps..

All the best..