I don't know if this helps or not - or if you've already done this - but I know some of the archery seasons (deer, for sure) have unlimited tags. Meaning, you may only be able to get one tag, but there's no lottery drawing to see if you get one; you just buy it. So if you ever needed a good reason to take up bowhunting, there it is!

Also you've probably already been on the SD GF&P website, but if not, here it is: SD GF&P

Hope that helps.