— St. Kitts and Nevis ; St. Kitts ; Basseterre ; Basseterre - Things to Do ; Cockleshell Beach; Search. Cockleshell Beach. 1,256 Reviews #4 of 31 things to do in Basseterre. ... Lovely white sand, never more than gentle waves, beautiful view of Nevis. Quiet beach doesn't get popular til afternoon. Reggae beach bar is there with food, …