That's possibly the most lyrical California river name I can think of off-hand.  Eel, Mad, Salmon, Smith, Yuba, Feather, and VanDuzen don't cut it for sure.  Sacramento and San Joaquin are a bit long (just plain Joaquin would work, but of course it's a regular name in Spanish). Stanislaus?  Blech. Ah! Tuolumne would be good (if you can remember how to pronounce it). Klamath might work. Scott works, but again it's also a 'regular name'.

Then again, nothing wrong with Mississippi as a name, especially if you like classic Western movies (El Dorado). And a lot of the Eastern rivers, being Indian names, are interesting.