I don't know of any rooms in Palm Desert or the Palm Springs area. I think the closest would be:
Mi Oficina Family Billiard
5431 E Holt Blvd
Montclair CA, 91763
Phone: 909-983-8939
Language Spoken: Spanish
Contact: Jose Luis Alvarado
Number of Carom Tables: 8
Description of Carom Tables: 8 heated Verhoevens
Room Type: Public
I have played there and the room has some very good players. It is about 90 miles from Palm Desert.
Silver Q Billiards
1120 E Highland Ave # 3
San Bernardino CA, 92404
Phone: 909-886-0690
Language Spoken: English
Number of Carom Tables: 1
Description of Carom Tables: 1 unheated Brunswick
Room Type: Public
Never played in this room, so can't tell you anything about it. It is about 70 miles from Palm Desert.
If you decide to play in one of these places, please let us know what you think.
By the way, you can always check for rooms with carom tables anywhere around the country by looking on the USBA website:
www.usba.net and clicking on "Billiard Rooms Nationwide".