Yes, all beaches in FL are public, so you can surf cast at the resort. Also, across the street there are ponds on the DVB property were catch & release is permitted. Sorry, can't help you with the quality at that time of year.
you may also wish to visit this thread: http://www.disboards.com/showthread.php?t=2610219 - lots of folks in the know there...also check out post #1 in that thread and the faq's there maybe more info on fishing there.