I would think that even in Georgia you should have a good drone population at this time.
The considerations;
A mated queen will be laying in a week or so. Then 21 days to new emerging bees.
A raised queen will take them 16 days or so, another week or more for mating flights and to get laying, and then 21 days to new emerging bees.
So to reach the same point a mated queen will be at in a week, it will take a month to raise a queen. If your OK with that loss of time then raising a queen is a valid option. If your in dire straits for honey, the mated queen will have your hive back on track faster.