I am in central Ga. and I don't attempt to put any supers on till the Tulip Poplar start to bloom.10 to 20 of April. If you have two deep boxes full of bees and brood and have some nectar plants in bloom you may try it. Although I wouldn't rush it.
If there is any palmetto where your at, but I don't know when they bloom.
Not time for the Huckleberries /blue berries yet, is it?