blind alley vs stumbling block

blind alley

noun
  • A course of inquiry that leads nowhere. 

  • Used other than figuratively or idiomatically: see blind, alley. A street or passageway that leads nowhere. 

stumbling block

noun
  • A hindrance, obstacle or impediment; an opportunity for error. 

How often have the words blind alley and stumbling block occurred in a corpus of books? (source: Google Ngram Viewer )