go with vs run something up the flagpole

go with

verb
  • To choose or accept (a suggestion). 

  • To date, to be involved romantically with (someone). 

  • To have sexual relations with (someone). 

  • Used other than figuratively or idiomatically: see go, with. 

  • To correspond or fit well with, to match. 

run something up the flagpole

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

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