I have the 17-55 2.8, because I find 24mm on a crop is not nearly wide enough for walkabout, plus it does f/2.8 at all focal lengths. I also have the 10-22 and am always grateful for the overlap - saves changing lenses all the time.
If I was on full frame, I would swap to the 24-105L immediately. Apart from the fact that the 17-55 wouldn't fit, it's a brilliant lens and an even greater range on full frame. But not for crop.