I am also sailing in the same boat as you are sailing... I have also short listed Jazz as first preference and baleno for the second preference. I have no doubts about the performance of Jazz but its seems to be over priced (may be for its brand name HONDA) but whenever i saw a baleno i critically have some looks on that by looking for some dents on that particularly signaling its light weight built quality. Have seen many odd reviews about the light weight baleno.
I am also seeking some expert views on this and have kept my decision pending for sometime most probably in favour of Jazz only. Because i don't want to shed money in a hurry.
I personally suggest you don't look for Amaze. it may cost you more than a Jazz and its a entry level Sedan whereas Jazz is a premium Hatchback and its look better than Amaze.
Hope to get some reply from CNB Team or from Mr. SVP to clear the dilemma.