I keep reading reviews and message board comments over on TA about there being a lack of beach towels available at CSA. None in the morning and when they finally show up they are gone quickly. I didn't experience this when I was there in May so I wonder what has happened since then.
I am here currently and do not have an issue getting beach towels. The bring you towels daily as well as when they come in to turn down your bed they will ask you if you need more towels. In the morning in front of the Great House is a beach towel hut. You grab towels and return towels to this hut. Later in the day the towels are normally gone.
We are at CSA right now also, no problem getting a new towel. The lovely person who does the turn down has been leaving fresh towels nightly. And you can find more on the beach by the swim up bar or water sports hut. Also if your across the street at the spa there are towels.