Follow the driving instructions to the base of Elephant Head. Per "Backcountry Rockclimbing in Southern Arizona", by Bob Kerry: Park when you see the "slabs" at the start of the West Gully. The "Slabs" start right of the [dirt] road... as you drive past them, you will see them on your left and wonder why it's the "WEST" Gully, as it appears to be a little more to the south... but whatever! Just climb.
Bob Kerry's description: Head up toward the big gully. There are eight pitches or so (depending on where you belay, etc.) of roped climbing. No move should be harder than 5.6. If it gets real hard, you are probably off route. Move out of the gully when you encounter huge solution pockets and it steepens.
Descent: continue over the top to the Elephant's "neck" (the saddle between the elephant and the ridge) then head down to your right down the slope/gully and back around to the start.
This is backcountry climbing. Where a HELMET! A couple of ropes will do nicely, one would probably suffice. Taking a standard rack of active and passive pieces should allow you to use your imagination and be as safe as you dare...
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