This thread made me wonder: What routes (for me, 5.7 and easier) on Whitehorse and Cathedral dry up quickest?
Reality is there really isn't much 5.7 and under terrain on Cathedral. Prow Cliff-top cracks dry really fast but easiest is Lookout Crack (5.8+)... or is it Little Feat? What ever one is at the tree (not the one right above Recompense. Upper Refuse can be climbed in a downpour. Call it 5.7+ soaked. Like Jeff said the rest dries pretty fast except for the bottom 20 feet.
First pitch of Thin Air, especially the "easy way" is fine in a downpour... 5.4 tops, if you are desperate to climb something and its all wet. The rest of the route isn't that bad soaked, I'ld call it 5.8 if it was drenched.
As for Whitehorse Slabs the issue is the bottom not drying fast enough due to tree cover... I slipped off the start of Beginners once (it is a bit "green" over that way). And the seepage around the Thread/Pinch in Standard Arch.... a few times I've discovered that situation with a slight bit of regret. Once on the Crystal Pocket I was able to wait 10 minutes and watch the sun evaporate the wet streak... other times I have sucked it up and climbed it wet & puckered.
Short Order dries fast, but is 5.8+/5.9-.... always seems to get a bit of a breeze to help the drying IMO
I know you asked about Cath/WH but Humps is a good option on sunny days right after rain....