Last route, I promise (at least for today). This is an alternate route to get around the traffic and get to the local bars or the Da Bus main terminal. Finding a parking place can sometimes be a challenge.Here is another option. I recommend seeing the Badlands at least once. Might as well stop off a Wall Drug along the way for an ice cream code if it is a hot day. The Wagon Wheel Bar is a great hole-in-the-wall for cheaper drink and food. This route takes a back road to Wall. Faster if you do I-90, depends on your priorities.
I also mapped a route through Sturgis on side-streets. This is useful when the main entrance gets clogged up with stop and go traffic (mostly stop). This route also returns via Nemo Road and Vanocker Canyon Rd.
There is a lot of options on this route, so it should give you some ideas if interested.