A plaintiff can't recover a judgment award from a defendant's attorney. A plaintiff would have to have a separate cause of action against the attorney and sue him/her separately.
I don't know about suing the talking heads, either. That's a tough road to travel and seems like more of a distraction than anything else, and talking heads have plenty of resources to field a strong defense. Right now, the defense is ahead in the media war, so I think they'd be better off to just let the media carry their water. The fact that the NAACP wants a gag order is a strong indicator of that success.