I'm pretty sure Paradise Beach is a public beach. When I was there, I went to Mr. Sanchos Beach Club, which I think is also a public beach.
2007 - Majesty of the Seas (Bahamas)
2009 - Enchantment of the Seas (Western Caribbean)
2010 - Freedom of the Seas (Western Caribbean)
2013 - Golden Princess (Alaska, roundtrip from Seattle)