You can go for NIT Warangal for civil. But, if you prefer CSE then go for JNTUH, Hyderabad. With your rank, you can easily get into NIT Warangal.
Your future is safe in both the colleges as they provide the best exposure. But, if you fetch NIT Warangal via your JEE Main AIR of JOSAA counseling, you will definitely get branches like ECE, EEE at any of the top 7 NIT. And, that would be a better option.
Do not worry much and simply go for the JOSAA counseling. If TS EAMCET counseling is limiting then secure your seat in the choice of branch of yours at JNTUH. Instead of submitting the original certificate of class 12, you can submit an undertaking certificate.