Carburetor guru Stan Howe always recommended using a wound "E" metal guitar string. It's thick, flexible, won't break, and unlike other "pokers", it has serrated rough edges that will scrape the sides of the passageways, not just down the center. This side scraping will open up the passageways even more.
I am not in the "don't drill out the passage plugs" camp. 100 years of accumulated gunk clogging the internal passageways is not going to magically go away by poking it with a paper clip or soaking the carb halves in a chemical bath. I recently tried everything to make a Model "B" carb run and idle better. Nothing worked until I drilled out the passageway plugs and manually cleaned out the collected crud. Now the carb idles as smoothly as a NEW Tillotson and has full power. I am not advocating willy-nilly drilling out the Zenith's plugs to check the passageways. I am saying sometimes just poking through them is not enough. In my particular case, drilling out the plugs and cleaning the passageways was the only reason this Model "B" carb didn't end up slammed into the trash bin out of frustration. It ALMOST did!
Marshall