There's a spring or reliable surface water just before Kane meets the Gulch, kind of a pour-off, and a nice ruin on the north bench above it.
There's a reliable spring at Green Mask up the channel past the ruin and rock art panel. By the way the "Mask" is theorized (the experts are basically positive) as representing a sort of bag made from a skinned head......... and back up at lion tracks spring there's another picto of the head with the skin removed. One of the most amazing panels I've seen anywhere. Those peaceful basket-makers.
There's also surface water where Bullit meets the Gulch as the stream bed "rises" to the surface. I expect you'll find surface water all along the route.
If you end up walking through it a lot and you probably will, be sure and clean out the sand and silt regularly as Eugenius pointed out in the stream crossing thread.