Chemical Engineering

This might prove to be a preferable and better option if pursuing B.Tech in Chemical Engineering but wishing to opt for history and join ASI. India provides programs under history and courses and majors in archaeology as well as heritage preservation on university campuses like Jawaharlal Nehru University, Banaras Hindu University, and the University of Delhi. Moreover, major hires by ASI hail from Indian institutions with either historical, archaeological, or a related qualification. You will also develop an insight into Indian history and the archaeological importance as a study in India and that is crucial for being a professional in ASI.

If you have made the decision of studying chemical engineering then ICT Mumbai would be the best option you could have. 

ICT  have an edge due to its specialised focus.ICT mumbai is way better than NIT Trichy for chemical engineering on most of the parameters if you are truly interested in chemical engineering . ICT has way better exposure and research than NIT Trichy .Professors will mostly be better at ICT mumbai.

 NIT Trichy is better for CSE IT related branches .

Remember that ICT is an institution which specializes in chemical engineering and technology as it's name suggests .Go for it only if you are whole heartedly interested in chemical engineering .Do take an informed decision.

Colleges in Telangana offer B.Tech programs in Chemical Engineering. This list includes some of the well-known colleges in that regard:
Indian Institute of Technology (IIT), Hyderabad: The most known is its rigorous academic curriculum alongside it being a place that nurtures research work.
NIT Warangal offers B.Tech programme and provides excellent placement opportunities among others.
JNTU Hyderabad: Jawaharlal Nehru Technological University, one of the most established universities offering courses in engineering.
Infrastructure along with faculty for quality education of Chemical Engineering is offered in Chaitanya Bharathi Institute of Technology (CBIT)
Anurag University gives a modern curriculum and better industry contacts also for placement.
B.V. Raju Institute of Technology has a firm foundation in terms of offering Chemical Engineering in addition to extracurricular options.