Synonyms for Follow one's nose:

• v.

  •range (verb)
  • cruise,
  • cover,
  • encompass,
  • stray,
  • straggle,
  • ramble,
  • prowl,
  • scour,
  • hit the road,
  • reach,
  • travel,
  • pass over,
  • gallivant,
  • search,
  • drift,
  • stroll,
  • meander,
  • traipse,
  • ply,
  • traverse,
  • rove,
  • float,
  • sweep,
  • tramp,
  • explore,
  • cross,
  • spread,
  • trek,
  • reconnoiter.
  •wander (verb)
  • divagate,
  • deviate,
  • peregrinate,
  • roam,
  • aberrate,
  • trail,
  • gad,
  • jaunt,
  • roll,
  • Circumnutate,
  • vagabond,
  • saunter,
  • diverge,
  • hike,
  • hopscotch,
  • circumlocute,
  • take to the road,
  • walk the tracks,
  • amble,
  • maunder.

• Other synonyms:

  •wander
  • take the road,
  • aberrated,
  • hopscotched,
  • Jaunted,
  • Jaunting,
  • vagabonding,
  • vagabonded.

Antonyms for Follow one's nose:

• v.

  • range
    limit, stay, be direct, disorder, restrict, rush, exclude, remain, disorganize, run, go direct.