Three loops for your delectation. High enough for great views but low enough that snow is unusual and shouldn't be a problem unless a relatively freak snow occurs just before or during the trip. Need to plan where you're getting water as these mostly follow the ridgetop. In no particular order.
1. Fires Creek Rim Trail
2. A loop incorporating the AT at Standing Indian.
3. A loop using Slickrock creek, Fodderstack, Haoe Lead and Hangover Lead.
All three @ 25 miles. Should be perfect for three days.
Close as you can be to Atlanta and over a mile high. ( in places)