Those are tough places during the low water and high temps of summer. The Rocky Broad in the HS section lacks wild fish to keep the action going after spring stocking is over. Not to mention, most of the water is posted these days.
You're best bet on the Green right now is fishing for smallmouth in the lower parts of the Hatchery Supported section.
Hang in for another two weeks and Delayed Harvest will be in on the Green October 1st.. Check the generation schedules before you go wading and load up on junk patterns (eggs, san juan worms, wooly buggers, etc) and you should be able to kick the skunk out.
http://www.duke-energy.com/lakes/scheduled-flow-releases.asp- "Tuxedo"
The NC Wildlife Resources website will give you the stocking date for Green River DH.