The SD season opens the 3rd Saturday in October. That means this year it opens on October 21st. Quite late in October so the first week of the season is actually the last week in the month. Thus, there will still be a ton of hunters in the field. Since you are hunting all public land I would suggest coming in mid to late November when the hunters have thinned out a little. The first couple of weeks of the season there are a lot of hunters afield.