I'm an old guy but I like deep in the Ozarks and away from people. Look up Creekside cabin in Jasper, Arkansas. Go hike Round Top mountain. Avoid the lower loop. Go for the north and south overlook and the western trail. About 2 hours before sunset head for Boxly valley and go elk watching. Early in the morning is good as well. There's also a very smooth/easy trail in that same area called the Lost Valley trail. Someone mentioned Crystal Bridges. You can hit it from the Jasper/Compton area with a 2 hour drive. Worth the effort. World class. If it has been raining there's the Glory Hole (I didn't name it) waterfall. The creek has drilled a hole in the limestone cliff and the water fall goes through it. So much nature in that area. And I hate Eureka with a passion. Back in the day it was great but now it's only one notch down from Branson on the scale of tourist hell.

One note on Creekside. If it rains a ton be prepared to wait out the creek going down. You have to cross a low water bridge to get in there. If you want more remote than that I have another one. Let me know.