Gaiter Up n Go
Here's a cool off-trail hike to what Chuck Kenworthy claims (in his 1997 book "Treasure Secrets of the Lost Dutchman") to be the Gonzales Monument and Map. Pick up a copy, read up and this hike might be of interest to you.
The hike starts off three-quarters of a mile south past Brownie Tank. This is right where the road makes a noticeable turn west. Park, toss on some gaiters, power up the GPS, pop-up the umbrella(this is harsh desert you know!), peel the atv'rs carcasses off the grill, jump the fence and get this hike in gear! First you head down a ravine between buttes 2074 & 2084 and shoot for Cottonwood Creek. Your best bet is to take a trail-of-use on the east bank until it dips down into the ravine. Then it crosses the ravine quickly going up the west bank. Of course you can take the ravine all the way down. I've been here four times, it doesn't really matter how as it's all fairly easy travel.
Once you're down in Cottonwood Creek look for the easiest ascent up the south bank. There's great views up Cottonwood Creek looking towards the Four Peaks. The area you're headed to is a ravine southwest of hill 2091, see the map.
Although dogs are certainly allowed I wouldn't recommend bringing yours. Thick groves of various cholla inhabit the area. Although I've been cautious of sliding down into one... I think the most concern should be being below Teddy Bear Cholla on the slopes. Sure footing is a must or your feet slip down while your body falls onto the cholla. Unfortunately experience speaks. I carelessly picked up one cluster in the flats. Then coming back on a slope I slid as mentioned taking in three clusters rather deep.
Kenworthy's book isn't respected much among dutch hunters. I have to admit there are good laughs to be had in his details. On the other hand, it iss "interesting" reading and it got me out on this great hike with sweet views. As for the monument and map you will find them SW of 2091 with minor effort.
WARNING! Hiking and outdoor related sports can be dangerous. Be responsible and prepare for the trip. Study the area you are entering and plan accordingly. Dress for the current and unexpected weather changes. Take plenty of water. Never go alone. Make an itinerary with your plan(s), route(s), destination(s) and expected return time. Give your itinerary to trusted family and/or friends.