Another suggestion and I know it's further than you requested. Where I store my coach is a gated, camera'd, enclosed individual garages with an outlet (20 or 30 amp). So for about $400 or so, you can rent a nice garage for your new Phaeton for a month (use only 3 weeks if you want) and keep your coach out of the sun and protected. You can drive your toad to LAX and park it in a long-term lot. It's about a 2.5 hr. (about 130 miles) drive on the I-10, off on the 60 (all freeway) to LAX from Indio, CA (just 30 miles east of Palm Springs).
When you return, you can experience the desert for a few days before you head out as it's beautiful in April/May.
MM.