You can pull or pry the limiter cap off the screw. Then I'd turn it in till it seats, counting the turns. I'd guess 1.5 turns out to start with, and then tune from there. The fastest, leanest speed you get will probably cause a hesitation on acceleration.
Unless your carb has been messed with, bigger jets, etc, I'd think your carb has something inside that needs to be fixed that's causing the rich running. Every factory carb I've seen has been on the lean side.
To Invent, you need a good imagination and a pile of junk. (Thomas Edison)