We are driving from the Port of Miami to Sanibel Island after our cruise. It will be a Monday morning, around 9:00 when we get off the ship. We will be renting a car. Any advice on avoiding traffic, sight seeing, and finding the best route. Map quest has us taking the interstates up to Ft. Lauderdale and then across Alligator Alley, but I was wondering if it was easier to go south and then across through the everglades. Which is better? Will we see alligators??