I don't think anyone has suggested the Orlando area. You can play Sugarloaf Mtn, Deltona and Victoria Hills for a decent price. Others in very close proximity are Timacuan and Debary. A little further away are Southern Dunes, Orange County National, El Campeon, Osprey Ridge and Harmony. For weather, price and convenience, Orlando makes a good short trip. Jet Blue from NY is very reasonable. A lot easier for a quick trip than Pinehurst, and less expensive.
In Myrtle, there is a deal for the Legends courses, including Heritage and Oyster Bay, in addition the Moorland, Heathland and Parkland. The total cost in March for five rounds, including, breakfast, lunch and two beers each day is $320 ($520 with Lodging in a condo at the Legends complex). You may have a few morning frost delays in MB in March. High temps range from the 50's to 70's. Not Florida weather, but okay. Moorland is a fun PB Dye course. Other choices: the Dunes Club, Caledonia, True Blue, Avocet at Wildwing and Prestwick.