Since I also enjoy motorcycling, Hiwassee, Georgia, comes to mind.
The winters are cold for about six weeks, but other than that, the climate is moderate and conducive to riding year round.
Several good lakes and reservoirs around, too.
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Current bikes: Unknown year Specialized (rigid F & R) Hardrock, '80's era Cannondale police bike; '03 Schwinn mongrel MTB; '03 Specialized Hard Rock (the wife's)
Gone away: '97 Diamondback Topanga SE, '97 Giant ATX 840 project bike; '01 Giant TCR1 SL; and a truckload of miscellaneous bikes used up by the kids and grand-kids
Status quo is the mental bastion of the intellectually lethargic...