Exactly.
Why no SR train from Kerala via SBHR HAS route? Why not extend Parasuram express to Bangalore? This perfectly fits for the requirement. After arrival at MAQ at 2050, it can leave to SBC by 2115 to reach Mysore by 0500 and Bangalore by 0745. Can leave Bangalore by 1800 Mysore by 2100 and reach MAQ by 0500 and continue in its current TT.