If you can't get a bonafide fish expert out there, I would be available for a reasonable price to rod and reel sample your lake
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On a serious note, I think you would be very hard pressed to find a lake that size in South Dakota that hasn't been stocked in one way or another with walleye, yellow perch, and northern pike. Bullheads, crappie, largemouth and smallmouth bass tend to be in most lakes in SD too. White bass could be present also. I guess it all depends on what the previous owners stocked and how able they were to prevent stocking by helpful neighbors and other bait bucket biologists.
Stocking fish when you don't know what is already in there is a waste of money. Most likely the fish you are wanting (yellow perch and walleye) have been stocked. If they are not doing well, I would find out why before spending money just dumping more in.
