If cse is not your topmost priority then i will suggest go with nit trichy ice as it will always give you the brand value of a top college which will be with you all your life also if you want to practice coding then nit trichy is one the best places to do coding thanks to the great coding environment but yes companies may be a problem as some tech companies do not allow ice students to sit in their placements but yes off campus is always an option but if you want to be closer to cse then manit ece might be a good option.