To really do some drop-dead shopping, hit the SawGrass Mills Outlet Mall (http://www.sawgrassmillsmall.com/). That place was packed with all the best shops at outlet prices. They are in the final stage of renovation but it is still a great place.
There was also a fun, indoor, nice flea market that had tons of booths that sold just about everything imaginable plus a Farmers Market, well worth a full afternoon retreat from the sun.