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My guess is that will be tough unless you find a rare property and want to spend a LOT of money.
The only place that meets your wishes are the islands between Tybee and Savannah. Tybee Island, or the "beach", is about 30 minutes east of downtown Savannah on US80. Between Savannah and Tybee are several residential "islands" that are very thoroughly developed; Wilmington Island, Whitmarsh Island, etc. Other than these residential islands, US80 is a thin ribbon through non-buildable marshes.
I'm sure there ARE some one acre lots out there... but they will be very, very expensive since buildable land is pretty well used up now. You will need a local realtor to give you some specifics. My guess is an acre lot alone will be several hundred thousand dollars.
For cheaper land, you have to move the other side of Savannah (west) and are no longer 20 minutes to the beach because the only way to the beach is through Savannah. Take a look at this area on Mapquest or something similar and it will make more sense.
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