One activity to do while you are staying in Turks is visit Cave and sinkholes. The Indian Cave, an open gallery cave with circular sinkhole skylights, is another interesting stop. This feature supports papaya and ficus trees, which fight their way to the light through the openings in the limestone ceiling.
Want to see flamingos? Flamingo Pond is exactly what its name sounds like, it is found off of King's Road between Whitby and Horse Stable Beach. It is an easy stop that offers an excellent view south over the extensive Flamingo Pond wetland on North Caicos.
Some other fun activities: Scuba diving, boat charters, and whale watching.