I live in Georgia too...over on the GA/SC border. The economy isn't too bad. Gas runs around 2.65-2.70 a gallon at the moment. You can buy a home in a nice neighborhood for around $150k. Unemployment is under 10% last I checked. Unfortunately, admins don't make too much here. Around $8-10 an hour in the private sector. Executive admins and office managers make a little more. Unfortunately, where I am (around the Augusta area) there aren't too many job opps unless you're in the medical field or have medical admin experience. Some of Augusta's biggest employers are Medical College of Georgia (MCG) and other local hospitals (University, Trinity, Doctor's, etc) or other jobs in the medical industry. However, you also have a lot of large industrial complexes like E Z Go, Proctor & Gamble, and ClubCar...but most of those folks hire through temp agencies, even for admin/clerical jobs.
I'd recommend taking a look at each states Department of Labor website, as well as information you find on the Bureau of Labor Statistics website in terms of state-by-state information and job outlooks.
In terms of weather...we don't get cold like up in NY, NJ, etc. However, we have high humidity, so summers are brutally hot and sticky and the winters, while much shorter and lacking the snow, are still biting because the air's so damp. Nothing like back east or up north, but it's not like Florida, where you can still have 60-70 degree weather in December and January. (Then again, we don't have the high cost of living like Florida.)
My folks live in northern Alabama, near the Tennessee border. Where they live is a high-tech town, near Red Stone Arsenal. The economy is not as bad as other areas of the country, but they still have limited job prospects, just like us. Higher number of jobs in the paper and such, but also a higher population, so it works out the same in terms of competition for jobs. The hourly pay is a little higher, but so is the cost of living. Not a huge difference, but a little. However, the area around Huntsville does have more variety in terms of the types of companies. Most of it is high tech, military-related stuff. (The Space & Rocket Center is in Huntsville, plus the Arsenal, NASA, companies like Lockheed Martin, Boeing, Intergraph, SCI, etc.)
Hope that helps a little.
Good luck finding a better clime for your fibro!