I have just added this to the map of places to fly your drone at Drone Scene:
Land owner permission not required.
I parked at the nearby Waitrose (2 hour limit, customers only), but it's worth trying right below the bridge on Beach Road where there is space for a few cars in an area without double yellow lines.
The Wales Coastal Path leads west from Beach Road, and there are opportunities to take of from the side of the path (if not busy) or shoreline below the path (depending on the tide).
Hazards: dog walkers and other path users; buildings to the north.
Accessibility: the coastal path has step free access at this point but there is no step-free access to the shore, and note that Beach Road is steep and has no proper footways.
The originator declared that this location was not inside a Flight Restriction Zone at the time of being flown on 26/08/2020. It remains the responsibility of any pilot to check for any changes before flying at the same location.