I've stayed there many times, in the Owner's Villa. Sundeck I is on top of the OV, huge deck with great views, but no shade that I can think of, although it looks shady in the picture on their website, that must have been early morning Sundeck II is off to the side, not as much of a direct view and I think it's smaller. It has a small deck that may be covered. Verandah suites are right next to it, haven't seen them. The lower level ones have a covered patio, not sure about the upper level.
email or call Lonnie the owner, she's great at answering questions.