I haven't done this in a Leaf, but I do go to PS quite frequently so I'm familiar with the route.
PlugShare shows no CHAdeMO stations east of Fontana along I-210; the ones in Riverside and San Bernardino show to be off-line and are possibly broken.
It's 64.5 miles from there to Palm Springs, but due to the grade around the Calimesa/Yucaipa area, you may need to stop at the Walgreens in Beaumont for a top up.
You'll need to leave Palm Springs on a full charge and then fully top up at Beaumont, as it's uphill (800 foot net elevation gain) pretty much all the way back to Fontana. Beaumont itself is at 2600 or so feet.