I did the same thing last year but over on the west coast in Fort Myers. It was a lot of fun. Just be careful becasue you will want to move down here. Or at least that is what happened to me! I made about three trips down and decided to sell the house in MN and move to warmer weather!
Now just to give a little info to help you out. If a marina will not do it you might want to look in the local papers for a private slip to rent. I know a lot of people over here rent out their slips (behind their house) to people from out of town.