A local favorite is Graveyard Fields at mile marker 418.8. From the trailhead, it's less than a mile to a place commonly known as Skinny Dip Falls. It's the most visited National Park in the U.S, boasting twice the amount of visitors per year as Yosemite, the Grand Canyon, and Yellowstone combined.
Runner up for the couple's favorite hikes. Pulliam Creek Trailhead will take you on a fabulous hike to view The Narrows of Green River. The hike isn't so difficult until you get to the part where you descend by rope to view this area of the river. Totally worth it. The Bride doesn't recommend going at it alone.