Alum Ford Campground is located near Big South Fork River on the Kentucky side of the park. Author: Associated Press Updated: 4:31 PM EST December 16, 2020 WHITLEY CITY, Ky. — Editor's note: Attached video is of Mammoth Cave and not related to Big South Fork Park Big South Fork National River and Recreation Area is offering a free night of camping next month to observe Martin Luther King Jr. Day. The park says the free camping is offered Jan. 18 at Alum Ford Campground as well as for all backcountry camping permits. Alum Ford Campground is located near Big South Fork River on the Kentucky side of the park.