run something up the flagpole vs suggest

run something up the flagpole

verb
  • To propose an idea or make a suggestion in order to learn the reaction of others to it. 

suggest

verb
  • To cause one to suppose (something); to bring to one's mind the idea (of something). 

  • To explicitly mention (something) as a possibility for consideration, often to recommend it 

  • To imply but stop short of explicitly stating (something). 

How often have the words run something up the flagpole and suggest occurred in a corpus of books? (source: Google Ngram Viewer )