IIIT Allahabad has an awesome coding culture. You can note the difference when you interact with a lot of engineers from other colleges. In old engineering colleges for the first year, you would be doing foundry and welding. You might also end up learning English etc. but actual coding starts after 1st semester or in the second year. While at IIIT Allahabad coding starts from the very beginning of the course. 

Highlights:

• IIIT Allahabad has an awesome course structure and meets the demand of current times. 
• In IIIT Allahabad they teach C or C++ in 1st year and Java in 2nd year.
• IIIT Allahabad lacked in Professors but then this was made up by the awesome students and seniors. 
• The most important thing in IIIT Allahabad was how to learn. This has helped many students throughout their careers. 
• Students in IIIT Allahabad start coding through a completely different language in just a day and it has never felt that it is a big deal because this is what was expected from IIIT Allahabad. 
• This is because the student is expected to complete one project each semester and they will get no help from your professors.

The table shows a brief overview of the institutions.

Also, there is a great culture of competitive programming in the institute. There are students in other premium engineering colleges who wouldn't have coded completely their engineering. This is unheard of in IIIT Allahabad.

There are several reasons supporting the cause that NIT Trichy is better than NIT Surathkal, with the fact that there are unemployed M.Tech graduates even from NIT Surathkal. The table below gives a brief overview of the institutes.

One of my friends got ousted from M.Tech in NIT Surathkal due to poor marks in the beginning semester. In the next year, he got into NIT Trichy and successfully secured a PSU job in placement. On the other hand, there were several students from that batch of NIT Surathkal who remained unemployed.

In the batch of 2012-14, about 29 students from M.Tech were unplaced in NIT Surathkal. Even the training and placement cell and the department did not care about the failure of so many students.

There are students from NIT Surathkal who are still struggling with odd jobs in hand, and some are even unable to settle in life.

So, if you have to choose between NIT Surathkal and NIT Trichy, prefer NIT Trichy. You will get better placement and opportunities at NIT Trichy as compared to NIT Surathkal.

My friend is currently pursuing B.Tech from NIT Raipur in the mechanical department. His honest opinion says that you should go for metallurgy at NIT Trichy. Here’s why

• If you went for the wrong branch or found out later that this is not your cup of tea, then after the 1st year you will have an option called branch sliding. In this process, you can change your branch from the current one to the desired one based upon the number of vacancies and score.
• If you went for the wrong college, then there's no option as a college slide! You’ll have to devote your 4 years in that college anyhow, except if you again decide to give mains.

So, if you simply want to get into a better place then choose NIT Trichy. This is because you can get the advantage of branch sliding anyhow. However, if you don’t want to take risk of not getting the desired branch, then go for NIT Raipur.

At last, sort your preferences and know your sole aim. Because in the long run, your happiness and satisfaction are what matters the most!

As one of my friends studied at NIT Trichy, I might favor it among the others. Also I do not have much idea about the other mentioned colleges. Do interact with some ex-students of these colleges to get a proper understanding of them.

Let me share why I favor pursuing Chemical Engineering at NIT Trichy over other colleges:

• The student crowd at NIT Trichy is really good and diverse. People from different cultural backgrounds come to study here.
• They have a strong alumni network.
• The seniors are extremely cooperative and helpful.
• They also have an experienced faculty.
• Placements at NIT Trichy are great. Students get several opportunities in different sectors.

Therefore, it is suggested that you go for Chemical Engineering at NIT Trichy. It is a reputed institution and will help you in shaping your future ahead. It is the best among all the NITs.

Among BITS Goa ECE and NIT Trichy EEE, the latter is a better option. NIT Trichy will give you better exposure and opportunities. 

Most companies that visit the campus placement of NIT Trichy allow EEE students to sit for placement. You can appear in interviews for IT, Management job roles along with core job roles. Also, PSU visits the campus placements and mostly prefers EEE students for recruitments. Which can’t be said for many campuses. Here are the recent placement highlights for NIT Trichy.

BITS Goa is also a good option but comparably you will get better opportunities at NIT Trichy. 

BITS Pilani accepts international students who have attempted SAT. To be eligible you will need to appear for the Grade 12 (qualifying) examination, SAT, and SAT subject tests (in Physics, Chemistry, and Mathematics level 2). 2390 in SAT is a good score and you are likely to get selected for admission. 

NIT Trichy will be difficult to get especially for CSE. The required cutoff is quite high for NIT Trichy. However, you can still apply for the program and if you are lucky you may get chosen. Generally, it is difficult because NIT Trichy is considered as one of the best NIT’s and it ranks over many IIT’s. You can also go through Google’s “DASA program in India” for admissions in other branches in different NIT’s. 

ECE is in any way superior to Civil Engineering. NIT Trichy is also a really good institute, so don't just go for the IIT tag. Taking Civil in a new IIT (or even in an older IIT) will limit your options, in terms of location or something else. 

You might not get as many opportunities as you might get for ECE, given that the packages offered for ECE branches are comparatively always better. 

If you had the option of choosing a circuital branch in IIT BBS, then it would be highly recommended to you, but since you are considering Civil, it is a better choice.