I am arriving Feb 24th, and I have hotels booked for the first week of my stay. I'd like to rent a car when I arrive, drive the island (and the mainland just north of the island), and decide where to spend my second week. Am I crazy to think there will be rooms available so close to my intended stay, during high season? Thanks for your opinion! Detailed response not necessary - simply yes (meaning yes I am crazy to consider waiting) or no (I have a decent chance to get a room) would be great!