This was April 20, 2015, 8 am local, northbound through the Dragon Corridor. I was solo in my 172N, 180 hp.
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Minimum altitude southbound through the corridors is 10,500'; northbound 11,500'. In the cool of the early morning that should be within the capability of a 180 hp 172. In the summer it gets bumpy by 9 or 10 am - I much prefer early morning to late afternoon.
(Pay no attention to that left fuel gauge. It was swinging back and forth like a windshield wiper, as Cessna fuel gauges are wont to do, and I happened to catch it pointed at 'E'.)