It might be good for U/R fish, or Mono-blue, but heres the simple truth...
UB Fish and UB decks in general run alot of its threats in sorceries, duress comes first to mind.  But in general UB fish RARELY can afford to sit on 2 colored mana for turn after turn, on the hope that your opponent is going to play a tutor.  Shadow of Doubt doesnt fit the mana tempo of UB fish.  The builds of UB fish almost all run FOW, Daze and if they run any other countermagic is all 1 mana stuff (annul or disrupt)  They never leave more than 1 mana open at the end of 2nd main.  Your crippling yourself by sitting on 2 mana turn after turn, why not just duress the tutor and be done with it.  
I would say if your already running 4 FOW, 4 durres, 3-4 daze and 2-3 Cabal Therapy AND you think to yourself "hrmm I think this deck could use a bit more control... " Then go ahead and add SoD, but you better be running Battle of witts too 
  What is intresting about the card is that you can play it in any heavy control, and it can be played in tog (wich is needless to say, not fish).  This I could see.