Scott,
Michael gives the best advice - listen to him and you will play the best public and the best private courses in LA for your 2 rounds.
A word to the wise...
The drive from Moorpark up the 101 to San Luis Obispo, and then hwy 1 from there to Monterey takes MUCH longer than you'd expect. Oh, it's well worth it and is spectacular in so many ways, but 300 miles will take a minimum of 6 hours and probably more if you plan for scenic turnouts.
I only say this in case you make dinner plans in the Monterey area and calculate based on mileage and assume an average speed. That drive always takes longer than people think. Normally I think of 300 miles as 5 hours conservatively.
Have fun...sounds like you have a hell of a trip planned.