I would also suggest trying a mini bike tour with camping to help develop a lifetime love of cycling.
I have heard good things about the Silver Comet Trail. Some portions are remote and w/o water. Haven't ridden it myself.
Silver Comet Trail Georgia - Welcome
The Silver Comet Trail is located 13 miles northwest of Atlanta, Georgia. It's free of charge, and travels west through Cobb, Paulding, and Polk counties. This quiet, non-motorized, paved trail is for walkers, hikers, bicyclists, rollerbladers, horses, dog walkers, and is wheelchair accessible.
The Silver Comet Trail is 61.5 miles long, and starts at the Mavell Road Trailhead in Smyrna, Georgia. It ends at the Georgia/Alabama state line, near Cedartown and TheEsom Hill Trailhead.
At the Georgia/Alabama state line, the Silver Comet connects to the 33-mile long Chief Ladiga Trail. Plans are underway to extend the Chief Ladiga an additional 7 miles. Both the Silver Comet Trail and Chief Ladiga are fully paved rail-trails built on abandoned railroad lines. The combined Silver Comet and Chief Ladiga trail length is estimated to be 94.5 paved miles from Smyrna, Georgia to Anniston, Alabama.
Please remember to bring plenty to drink for you and your pet. Water fountains along the trail may not be working.
Silver Comet Trail Map | Silver Comet Trail Map
Silver Comet Trail Maps - Interactive, Google, Print, PDF, Hard Copy


Either way, have fun, ride smart, be safe !