Deb - we won't be staying around on Sunday but if you don't find someone to spend some time with, why not look into a tour offered by the ship which may interest you. It sure would beat sitting around in the airport all day and a lot of them include transportation to the airport at the end of the tour.
I was thinking about doing that also. I've never really spent much time in Miami so that may be a good thing to do. I'll look into it!