If you have an accepted carry permit you can carry on a MC in SD.
32-20-6.6
No person, other than a law enforcement officer or conservation officer, or any person on the person's own land or land leased by the person, may operate or ride on any motorcycle or off-road vehicle with any firearm in the person's possession unless the firearm is completely unloaded and within a carrying case which encloses the entire firearm. However, this section does not apply to any person who is carrying a pistol and possesses a permit to carry a concealed pistol issued pursuant to chapter 23-7. This section does not apply to any person who holds a permit issued pursuant to § 41-8-37 while engaged in hunting from an off-road vehicle in accordance with the provisions of the permit. This section shall be enforced by all law enforcement officers including conservation officers. A violation of this section is a Class 2 misdemeanor
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