Santa Monica beach is a National Park? You may want to double check this. I think you might find its either a state or county park.
As far as the helicopters, I've already mentioned this. They are in the air, over the National Park. You can do the same thing with your drone. If the local park does not allow you to launch, operate or land in their park than feel free to do the same think the planes and helicopters do... take off from someplace else and fly down the beach.
According to The Hover app it is national park. Not sure how accurate the hover app is. It matched up pretty good to the FAA app before it stopped working. But over the weekend I went to SM Pier to fly and before I flew I walked the Pier with my family and I saw what appeared to be a P3 flying over the water around the Pier. There were cops/security walking up and down the Pier with their radios trying to identify the operator. It didn't really matter. I wouldn't of flown anyway. Way to much air traffic and I realized that their is a small one strip airport within 5 miles. It just aggravates the **** out of me how unfair things are getting and most of it is based off all the negativity that surrounds this hobby in the media. As far as the helicopters go, I agree with yielding to manned aircraft, but we should be able to fly the same places they do.

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