where in s.d. do you want to be?
plankinton, mitchell, huron, chamberlain all have good hunts. what other hunting do you want to do while you're here? plenty of good opportunity for waterfowl, and if you want the best s.d. has to offer, go late in the year and pick up a deer tag, too. pheasants are tons more fun to hunt when its below 20° and snowy out. dogs don't tire out, either.
if you come out early in the year w/ the rest of the tourists, you might consider taking advantage of the pheasant hunting out near the pierre area and whacking some prairie dogs while you're out.
just depends what exactly you like. if you want to hunt a pheasant farm you can combine a pheasant and antelope hunt in the same area...