It would be legal in my state if you stayed in the water, but you need to know LA's laws.
Yeah, I know Captain Obvious.
I may be paranoid, but I don't know if I'd post a primo location like this on the web.
You could do some research on how the place is operated. Who is head of maintenance? Grounds crew supervisor etc. make few phone calls. Start at the lowest level. You might find someone who will give you permission. Someone here should know the legal aspects regarding the shoreline. Good luck!
You should buy a submarine instead [emoji106]