Peter,
You ask a great question that we have kicked around here for over a year. Can a desert course be great? Which are the best. In my mind, Shadow Creek is #1 with a gap. The Palms in Palm Springs is #2 with a gap. #3 is SouthShore in Las Vegas, #4 is PGA West Stadium. After those four, there are several that I group close together - (In no specific Order) Talking Stick North, Troon North (#5 for sure before the housing), Chiracua at Desert Mountain, Troon G&CC, Country Club of the Desert, Wolf at Paiute, Reflections Bay and others.
The interesting thing is that the clear numbers 1 & 2 are in the desert but are they desert courses? Neither incorporates any desert features and both are fully sodded with rough. Is a desert course a course that is in the desert or a course that incorporates sand waste areas and dunes. If it is the later, than Pine Valley, Cypress Point and Dunes Club are certainly more desert than Shadow Creek or The Palms.
Hope this helps.