Sail every day? Stopping to see the sights or keep moving?
Roughly 800 miles. Easy days figure 40 miles/day. Going through GA may slow you down as some sections are very shallow with high tidal range, 8-10' from high to low, so depending on your draft
you may have to wait out some sections.
Also depends on whether you stay in the ICW
(IntraCoastal Waterway) or go outside.
As you get into S Florida
you will have many, many opening bridges that will slow you down some more. Some are closed for certain hours, some only open on the hour, etc.
If you're trying to get there you could do it 10-14 days without working too hard. If you really want to take it easy figure at least 3 weeks.