I thought I'd insert an opinion in here regarding the line left of Cutting The Rug, as I'm hoping to get the redpoint on that (when I can get a belayer to come out with me) and install the anchor.
I've climbed on it a few times, with and without Noal and Mud, and one aspect that stands out is that many of the holds are sharp and scraping on the fingers.
As such, and to keep with the name Cutting The Rug, I would propose Rug Burn for the name, or alternatively Rug Muncher.
Any thoughts?