Since you are looking for the same branch, I think you should give preference to the institutes. That being said, it’s not a brainer that NIT Warangal is much better than NIT Surathkal in terms of academics, job opportunities, and campus life. In fact both the colleges give tough competition to each other since they are among the top 3 NITs.
The only reason I am giving more preference to NIT Warangal is because it has a branch change policy which NIT Surathkal does not. So if after studying Chemical Engineering you realize that it’s not your cup of tea, you can opt for a branch change. However, it’s important to note that this process is neither easy nor tough.
One of my friends studied at NIT Warangal and told me that every year many chemical and biotech students slide to branches like ECE, CSE, Mechanical, etc.
So both are great options with NIT Warangal having a slight upper hand over NIT Surathkal.