Contact tourism offices in Kentucky. The lodging page for Kentucky Tourism (kentuckytourism.com/places_to_stay/ky_lodging.aspx) lists a range of rental options throughout the state, including Red River Gorge and surrounding areas. On the "places to stay" page enter "Red River Gorge" as the keyword. Choose the category that says "cabins, cottages & condos." Select "Daniel Boone Country" as the region. You will see more than 10 rental companies listed, as of 2011, each featuring numerous cabins of varying size. "Visit Powell County" is another tourism office with cabin rentals listed on its website (visitpowellcounty.com). You will find cabins in and around Red River Gorge, Natural Bridge State Park and the Daniel Boone National Forest.
Check with real estate agencies that handle rental properties in Red River Gorge and throughout Daniel Boone Country. Real estate agents in Stanton, Kentucky, for example, are listed on the Yellow Pages website (yellowpages.com/stanton-ky/real-estate?g=stanton%2C+ky&q=real+estate). Other agents handling Red River Gorge cabin rentals are in other Kentucky cities including Slade, Compton and Rogers.
Contact private owners. Several list their Red River Gorge cabin rentals on the website VRBO (vrbo.com/vacation-rentals/usa/kentucky#a10122). The site provides information about the cabins and their owners. It site also includes reviews from previous renters.
Check vacation home exchange and swap service websites. Many owners are interested in trading properties for a week or longer. While you visit Red River Gorge, the owner of a property there may be interested in visiting your town and staying in your home.