I hiked a little more than a mile up from the mouth once looking for anything but didn't find any water or archaeology. It was just sandy rocky dry wash, which is disappointing if you know what the main fork is like in the area. I'd have gone farther, but it was alternating snow and hail and my partner wasn't into it. Infrared satellite photos indicate some small stretches of dense wet growth in the middle of the canyon, but I've never seen them.
I asked a backcountry ranger I ran into about the West Fork and she said that there was water in some places.
I haven't been back yet, though, to check it out. Instead of hiking down from the top, I think it would be best to set up camp at Kirk's Cabin and day hike over the top of the divide into the middle sections where the infrared images point. That's the best way to run into middens and petroglyphs in the area, too, because it forces you into the likely Moqui trail routes. And you don't have to worry about driving past Cathedral Butte on the 4WD HC 'road.'
I'd be happy to make a trip back there with people interested in the West Fork.