The Collaborative International Dictionary of English v.0.48:

Nose around \Nose around\, v. i.
   to look around or search, especially where one has no
   authority to do so; to pry; to be nosy. Same as nose[2], v.
   i.
   [PJC]

Moby Thesaurus II by Grady Ward, 1.0:

39 Moby Thesaurus words for "nose around":
   be curious, beat the bushes, burn with curiosity, burrow, delve,
   dig, dig around for, dig up, explore, forage, frisk, gape, gawk,
   go through, hunt, inquire, interrogate, look around, look round,
   look through, nose around for, nose out, peer, poke, poke around,
   pry, query, question, quiz, research, root, rubber, rubberneck,
   search, search through, seek, smell around, stare, want to know