Hey William, sounds like you are doing the same thing we are, check our site
We too are looking for a place to park in LA for two to three months, best we've found so far is the Valencia Travel Vilage. It's out near Magic Mountain, about 45 miles from downtown. We couldn't find anything closer in that wasn't a "trailer park
". I had similar experience with the Malibu folks when we called to inquire, I guess thats what you get with the only game in town. Best of luck, let me know if you find anything better, I'll do the same.