There is a wild part of the great wall about 10 km west of the Mutianyu great wall, called JianKou, which is wild and untouched and runs over the ridged, steep and beautiful mountain tops. Visitors can stay at a local farmhouse. By searching 'wild great wall trip' on google, you can find detailed information about the wild great wall.
The Great Wall at Mutianyu is a little further away from Beijing than the most popular section at Badaling, but it doesn't get as crowded. This section of the wall is fully restored, there are hand rails to help you up on the very steep parts and the views are spectacular.
