The IT courses at IIIT Allahabad are top-notch unlike CSE at BITS, Pilani’s. As CSE and IT are different courses and since you say that college doesn't matter to you it comes down to choosing between the subjects. IIEST Shibpur is doing great too in its infrastructure; placements and alumni base. The CST department has done great in the field of placements with 90% student placements in IIEST Shibpur. The highest was about 48 LPA from DirectI and the average package was around 8 LPA.

Notable Companies in IIEST Shibpur: Microsoft, Texas Instruments, Google (India, US), Directi, Accenture, Amazon India, Infosys TCS -CTO Digital and many more.

Notable Foreign Internships at IIEST Shibpur:

• (HCII), Human-Computer Interaction Institute, Carnegie Mellon University, United States of America
• Mc. Gill University, Canada
• DFKI (German Research Centre for Artificial Intelligence) , University of Saarland, Germany
• Nanyang Technological University(NTU), Singapore under NTU-India Connect Program
• Informatics Lab, Grenoble
• Amazon
• Google
• DAAD fellowship and many more.

In short CSE deals with the scientific study of computers and its research applications but IT deals with the industrial applications of the same science.

With the above information, I hope it will help you in clearing your point of view to opt between the colleges eventually.