I know there are more experienced riders on here that can offer advice, but I will let you know my thoughts. There is great riding close to Sturgis with Black Hills, Spearfish Canyon and Badlands national park. I think Utah is awesome, but might be really hot in August. I love riding thru forests and hills/mountains with rivers and streams, so I would do the Rocky Mountains. Google Maps says beartooth pass is only 6 hours from Sturgis, never been, but heard its awesome. Yellowstone national park, grand Tetons national park, Rocky Mountain national park are all awesome. I'm sure other rocket captains know the best roads and how to avoid the large crowds, I really don't think there is a wrong way to go, it kind of depends on what you want to see and what kind of riding you like doing.