I always remove the carb and set up the linkage, then put the carb back on. I'd be all ears if someone has a better bit of advice. I guess you could remove the governor arm too, but I prefer not to mess with those if at all possible
Yeah, removing the carb is the best method and I agree not messing with the existing governor setup is the way to go. If you do need to remove the arm for whatever reason...scribe an alignment mark before loosening if first to ensure you get it back the same way it came off.
If you want some free wire...those little
flags linesmen use to mark underground cabling along side the road are of the right size. The wire measures .062" which is the same as used for governors/carb linkages. Clean it off with sandpaper, bend it up and add some paint...would work great for Briggs or Tecumseh engines. Predators use .080" wire for their carb control rods so, I might not use it on one of those engines.
Another wire source besides the hobby shop could be at Lowes. I've seen steel rod there in the hardware section but, I don't know if they have a selection small enough. It's worth a look, though.