Brookings, SD:  Islamic Society of Brookings
          724 11th Ave, Brookings, SD 57006
          Phone: 605-697-6187
          Email contact: Brother Bashir

Rapid City, SD:
           Islamic Association of the Black Hills
             2526 Tomahawk Drive,
             Rapid City, SD 57701
             Phone: 605-388-9503

Rapid City, SD:
          MSA - South Dakota School of Mining and     
             Technology
             Surbeck center, basement
             501 St.Joseph Street, Rapid City, SD 57701
             Phone: 605 394 1220
             Email contact: Abul.Hasan@sdsmt.edu

Sioux Falls, SD:

Islamic Community of South Dakota
3013 S. West Ave.,
Sioux Falls, SD 57105

The OTHER masjid, which unfortunately we are not able to name due to their own disclaimer on their homepage can be found by cliking on the below disclaimer:
Furthermore, the use or reference of ****'s name, logo, image in any correspondence or business transaction, verbal or written, without expressed written permission of **** is strictly prohibited. Violators will be prosecuted to the maximum extent of the law.
         
             
             Cell: 605-376-2020
              We are sorry we can't share with you their name or info, but insha Allah, they will be a bit more friendly to you, if you contact them. Insha Allah.