Hi Stephan
Many thanks for your clear and detailed description of the route.
I have done this route a number of times and we refer to it as the Jebel Yabanah ( the large twin peak behind ) or the moon light hike after a notable trip that we did on a full moon in May 2012.
There are a few variations on the route descent towards wadi bih and also some interesting variations to the peak .
Last winter I did a new line in Wadi Qasab to the east that involved some scrambling and led to the summit of jebel yabanah