It's fairly straightforward to get to Brad's Water. From the Red Tanks Trail, go up Brad's Canyon for about a third of a mile and head roughly northeast in the direction of a small saddle. There are game trails to the actual hole dug into the ground (it's a mine adit that presumably hit groundwater and filled up with water, so you're looking for a hand dug horizontal tunnel of sorts) that's Brad's Water, which is at N33.44059° W111.28209°. There certainly is a good bit of catclaw in the last tenth of a mile or so to it, but following the game trails you can dodge much of it.
When I was there, it was a 20 minute walk each way from the trail to Brad's Water.