You can always kayak at the Environmental Learning center if there's not one during your trip - it's just before the bridge that takes you to the resort - maybe 3 minutes away.
http://www.discoverelc.org/
Thanks. Do they rent kayaks there? Although I found some info. on a canoe trip during our timeframe, I'm not sure whether that will work for us (we'd have to miss the character breakfast to make the trip).