There is actually a paved model airplane runway in the park and people fly planes and helicopters there all the time so I'm sure a drone is fine
It is legal to fly drones in California state parks unless otherwise stated. I haven't seen any signs directly prohibiting it, and assume it is fine. If you have concerns, you can directly contact the park, or speak with a trooper if you see them at the park.
Call them directly for info.
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