Sometime in the mid 2000's, I did Murray from Thielman and Wildhorse, and at the top I decided to come down the north side and then figure out how to get back because loops are more fun than out-and-backs. Well, I got lost on the Goat Trails, and it was a little warm, so I got dehydrated too. It took a long time, and I regretted doing this.
So recently I went on a mission to figure out how to make the connection on the Goat Trails. In the process, a hiking couple asked me how to get back to Rimrock after they had just hiked Murray. Apparently I'm not the only person to think of doing this or to have gotten lost attempting it. It's almost maze-like on the Goat Trails, but with a few basic tips it's quite doable. Here's a map with my notes:
https://mapper.acme.com/?ll=33.77721,-1 ... 0City%20CA
F: Trailhead for Thielman. Rarely used and good for avoiding crowds. Flash floods have washed out a section of Thielman right after the downhill part in the beginning. This requires a very small detour to the east. If you're just doing out-and-back and not a loop, the west side of Murray is a little cooler than the north side. Breezy on the ridges, and most of the climbing is done in the beginning.
H: This is where Thielman meets Wildhorse and Garstin. The trace trail to the northeast is the most direct connection route, except for the wash.
P: Goat Trails junction near the top of a hill. Avoid going south unless you want to be in the narrow wash which may involve scrambling or climbing (I don't know). Going north connects with Araby Trail and Berns Trail. East goes to Rimrock or Clara Burgess.
L: Goat Trails junction. South fork drops into wash just a little to the southwest of where Clara Burgess meets the wash. Reaching the Clara Burgess crossing or vice-versa is not technical, but it is more sandy and rocky than a trail. The satellite photo shows a couple more direct connections to Clara Burgess. I didn't notice those when I was there. North fork is the main road that goes back to Rimrock shopping center after many switchbacks and curves, or you can later connect to Clara Burgess via a couple small trails.
D: Rimrock shopping center trailhead. One of the most popular trailheads in Palm Springs but of questionable legal status, perhaps to avoid lawsuits, I don't know. Maybe somebody here knows more about this. Avoid the water tank trail because the DWA is probably serious about not wanting people there.
J: Upper trail that connects main road to Clara Burgess. A little breezier and cooler than lower trail.
R: Lower trail that connects main road to Clara Burgess. More scenic than upper trail, but there's not much of a breeze, so it can feel warmer. The trail that drops into the oasis at the bottom of the slot canyon is very nice but also a dead end.
N: Where Clara Burgess Trail meets the wash.
T: Top of Murray Hill.
B: Where Clara Burgess Trail meets Wildhorse Trail. Don't go south unless you want to go somewhere else.