Fill Manipal, CUSAT ( @ananda_krishnan ) ,
See again SRM, VIT are options. But they are mass institutes that take students like sheep. SRM gives seat to almost everyone. Don't expect to be taught anything in these institutions. Seeing the very bad answers popping up on quora I'd honestly say that VIT is losing it's face value as well. My cousin studies ECE in VIT Vellore and it's all up to self learning there coz just imagine there are so many many students... How can they organize for teachers?
As far as placements are concerned just ensure you nor your parents get tricked into the 100% placement scams. VIT and SRM are renowned for such claims. This 100% includes 2 LPA packages with CTS and other mass recruiters.
Manipal is a great institution. After the IITS, NITS , BITS... Manipal should be your fourth option