Barnstorm is a word that refers to an enterprising or daring mission or undertaking. A few synonyms for barnstorm could be to canvass, to campaign, or to tour. Other synonyms for barnstorm include to crusade, to travel, or to explore. Additionally, to trek, to journey or to roam could also be alternatives to this word. To gallivant, to wander, or to meander might be used if a more leisurely sense is needed. Also, to venture, to pioneer, or to trail-blaze might be suitable replacements for barnstorm in situations where bold or experimental action is being described.