Basil:
You pose an interesting question about hunting SD - one we have covered several times on this site.
Have hunted SD for 25 years. And the experience has evolved: banging on doors and establishing relationships; visiting with townspeople - bartenders, waitress', hotel managers, even one of the town ministers, where we slept one night.
Finally I learned about a hunting situation that reduced the door banging to a minimum: a farmer that had a house where we could stay ($50) and a reasonable charge to hunt.
You can find these situations if you're diligent in meeting people and doing youir homework. Expect to do lots of driving, if you're not content to pay the fees that are charged.
One other thought: consider purchasing a "county map" that lists the landowners, with telephone numbers et al. Send me an email and I'll give you the particulars.
Good luck!