I agree abut the shade, very nice, even on a cool day.
The are two pine trees after and slightly above the traverse. We belayed from the one on climber's right (as you face the cliff). It had no rap slings. I think this is the tree you mention as having been cleaned. I thought the same when I first led up to it. But on the same ledge to climber's left there was a second pine with (as of yesterday) two rap slings and rings. We rappelled from that tree to the ground with two 60 meter ropes. That rappel is not a good idea. It goes through a pine tree and past a very dead tree with very old rap slings on it. We had to be mindful not to touch the dead tree for fear of knocking it down on a party below. And, rappelling through a pine is never much fun. Also, I don/t think the rap route would work with one rope. The only intermediate station I saw was the old dead tree from which no one would want to hang.
So, I think your "third" pitch was a good idea.