Here's where I like to play. However, in Florida there's a million places.
Villiage of Wellington Tennis Center very nice $12 for non members (Clay) No nights on weekends. Lighted till 10PM week days
Picture at http://wellingtontenniscenter.com/
Jupiter Great Park close to the Ocean. Hard Courts (Free) Great Courts
Can be windy
Jupiter Ocean Club Clay some charge
Delray Beach Tennis Ctr This one is a drive (30mins) but a lot of big tournaments played here if you want to say you did.
Various Surfaces some charge http://jcdsportsgroup.com/delray_beach_tennis/