Canoe Kentucky, at 7323 Peaks Mill Rd in Frankfort, puts you right on the Kentucky River with minimal effort required. No rushing, no rapids, just smooth green water and the occasional curious heron. The Little Sandy River runs calm through most of the season, making it ideal for beginners and families. Green River Canoeing And KayakingThe Green River is one of Kentucky’s most biologically diverse waterways, and floating it feels like paddling through a nature documentary. Every trip feels like a wildlife lottery where you almost always win something.