Hiking to Green Mountain Falls is an "off the radar" hidden gem along an uncrowded, aspen-lined trail. You may have tons of moose sightings (is this awesome? It is scary, but awesome).
From Encampment, Wyoming, start driving up the scenic Battle Pass. You'll drive about 6 miles from town. Turn on FR 550 towards Hog Park Reservoir. Take a right at the sign for Green Mountain Falls Trailhead (it is a short, wooden sign--be on the lookout!).
There are a few options from here: you can either take a 4WD vehicle for 2 miles up to the official trailhead, or you can park your car and start the hike here. The road is not in good condition, and I would highly recommend just hiking it--it is super beautiful!
The 4WD road is 2 miles long and lined with aspen trees. You'll gain just a few hundred feet of altitude; it's a pretty gradual and easy hike. Soon you'll hit the official trailhead for Green Mountain Falls. It is well-marked. It will change from a road to a single track trail.
Stay on this well-marked trail for 1.6 miles until you reach the falls. You'll pass mountain views, marshy grassland (look for moose!) and burbling creeks. At 1.6 miles, you'll find Green Mountain Falls! The falls are a gradual but beautiful series of cascades.
Tips: Do the hike in the spring, where the falls will be more dramatic. By fall, without the runoff, they'll be much smaller. Also, after your hike, go eat at the Bear Trap in Riverside, Wyoming (pop. 59)! The Bear Trap is a classic Wyoming spot that will allow you to experience the local color.