S.D. Codified Laws § 12-19-2.6
If an absentee voter in a primary election is registered as an independent and is eligible to vote more than one ballot style pursuant to § 12-6-26, the voter may specify the voter's ballot style preference on the absentee ballot application. If no ballot style is designated, the absentee voter shall be provided a nonpolitical ballot.
If an absentee voter in a primary election is registered as an independent and is only eligible to vote one ballot style, the absentee voter shall be provided that ballot style. If more than one party allows independent voters to be eligible to vote in a primary election and no nonpolitical ballot is available and the absentee voter does not designate the ballot style to be received, no ballot may be provided to the absentee voter.
SDCL 12-19-2.6