S.D. Codified Laws § 17-2-13
Whenever publication is required in any legal newspaper and the editor of such newspaper shall refuse to make the publication for any reason other than nonpayment of his fee for the same, it shall then be sufficient legal notice by publication to publish such notice in any other legal newspaper which would be qualified for publication of such notice under §§ 17-2-10 to 17-2-12, inclusive, in the event the newspaper refusing to publish such notice did not exist, or to give such notice in any legal manner available if no newspaper is then qualified to publish the same. The affidavit of any disinterested person that he presented such notice to the editor or foreman of such newspaper with request for publication and that publication was refused and stating the reason why such publication was refused if any was given, shall be attached to the proof of giving the notice as finally given and shall be prima facie evidence of its contents and the rights of any such person thereafter relying on the same in good faith, shall not be prejudiced by any claim that such publication was not in fact refused.
SDCL 17-2-13