If you look at page 39 in South Dakota Hunting Regulations 2017, you can use night vision on calibers smaller than .225 in.
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• A landowner or occupant, eighteen years of
age or older, and no more than two guests
accompanied by the landowner or occupant
may use night vision equipment on the owner’s
or occupant’s land, a firearm using a cartridge
with a bullet diameter below .225 inches, in the
taking of jackrabbits, coyotes, beaver during its
hunting season, foxes, raccoons, opossums,
badgers, skunks, or rodents.
For the purposes of this section, night-vision
equipment is an optical device utilizing light
amplifying circuits that are electrical or battery
powered.
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