» Tue Aug 21, 2012 8:57 pm
Dragons are triggered by the Dragon Rising quest, which in turn is triggered by givin the Dragonstone to Farengar. So just don't approach Jarl Balgruuf, don't talk to him about Helgen and you'll never start the MQ. Or if you already started, then don't bring the stone back.
IIRC the stone is looted from a draugr boss. I think you shouldn't leave it behind, after 30 in-game days Bleak Falls Barrow will respawn and the stone might disappear (or not. I'm not sure).