Good choice! I did the exact same route during Easter, and it was a blast. Make a point of climbing Cathedral Peak via the standard route - personally I think it will be stupid to pass the opportunity - you'll see why

, except in case of bad weather.
We were a relatively fit group, but we took it lekker rustig and took it all in without ever rushing. Our trip went as follows:
Day 1: Hotel to Orange Peel Gap - great campsites there, just no water.
Day 2: Orange Peel Gap to Cathedral Peak, climbed it, lunch at Bell Cave, and on to Twins Cave.
Day 3: Twins Cave to top of Cockade Pass, taking a longer route and keeping on the escarpemnt edge for the view.
Day 4: Down Cockade Pass and back to the hotel.
It was very wet and we had no problem with water. Apparently the Traverse itself is usually dry, which will probably be the case now. On top of the escarpment water is no problem.