I have just added this to the map of places to fly your drone at Drone Scene:
Land owner permission requirements unknown.
Plenty of parking areas around the park. The park can get very busy with people so you need to consider this. Best to plan an early visit when there are few people around. I have read that you aren't meant to take off from within the park, I didn't see that notice and there was no one around who challenged me at the time.
The originator declared that this location was not inside a Flight Restriction Zone at the time of being flown on 21/04/2018. It remains the responsibility of any pilot to check for any changes before flying at the same location.