It's easy to remove the screw and use one of the cans of compressed air to blow through it, but it might not remove debris that's really stuck. Its also easy to unscrew the jets to give it a good exit path, and then blow air through from that side also.
If you are running rich I would try another check also. Use a flashlight and a small mirror at an angle to look down into the carb while its running. If you see any evidence of raw fuel dribbling on one side, there is probably something plugging the venturi on that side and making it run rich. This obstruction (which might be something sucked in when you had the air cleaner off) reduces air flow and makes it run rich. It usually means you also have to raise the idle to keep it running.