Hello aspirant, 

As you wanted to which college is best in respect of placements after graduation,it would be better if you go for NIE rather than jss college .As it is an AAA+ accreditation as well as with good reviews and placements .
NIE college has much better facilities as compared to jss  ,it is approved by AICTE (All India council of technical education).The salary package starts with a package of about 3lakhs and the highest package is 13.14 lakhs and the average package is 5lakhs.It is an autonomous private college with an estimated course fees of about 5.92 lakhs.So after all these pros ,I would like to suggest you NIE college over jss
For more details regarding NIE Mysore ,please go through the link below :
https://www.careers360.com/colleges/the-national-institute-of-engineering-mysore

Hope this helps

Good luck