Have you considered looking into if ant community colleges in your area have agreements with 4-year colleges as far as transferring? Where I'm at, the local CCs have it set up so that the vast majority of their classes, including all of the core classes, transfer to the state university system with no issues. Even if you aren't interested in getting your ADN and want to go straight for the BSN, you could get the core classes out of the way at a cheaper price while building a solid college GPA.
So far as I'm aware, having a GED doesn't automatically disqualify you from being able to go for your nursing degree...it's designed to be considered the equivalent of a high school diploma in that it says you have achieved a certain level of education. How admissions offices actually look at them might vary somewhat though. The best way to find out is to determine what schools you're interested in and call or go there and speak to an admissions advisor.
I don't know about GA, but my state's BON website has a list of all accredited nursing schools in the state, recent pass rates, and contact info for each school. I'd recommend checking to see if GA has something similar, then sit down with Google maps amd figure out what schools are feasible to consider geographically, and go from there.