Two things:
1. Definitely plan for two days. Even if you only break for a few hours at a cheap roadside motel and take a nap and a shower, you will significantly cut your risk factor from fatigued driving.
2. Don't take I-95. Instead,depending on what part of GA you are leaving from make your way to Charlotte (via I-85 or I-77) then I-81 through Harrisburg to Scranton, then I-84 to cross the Hudson on the Newburgh Beacon bridge. Then I-84 through Danbury. Pick up I-681 to SR 9 to I-95 to Providence.
This theoretically adds about an hour compared to I-95, but you will avoid DC, Baltimore, Philly and NYC traffic, which will actually reduce your road time. You will also save a lot on tolls, and will get some great scenery along the way. The worst traffic you can expect is Harrisburg, and that is only during rush hour.
The downside is you will be travelling with a lot of trucks, and the mountain passes can be intimidating for some drivers.