"Agreement State". House Bill 1071 would do that, and as far as I can tell landed on Gov Kristi Noem's desk today, having passed House and Senate almost unopposed.
https://fastdemocracy.com/bill-search/sd/2024/bills/SDB00006364/#actions
The bill would make South Dakota an "NRC Agreement State", just like Texas and Wyoming are, and have the state handle "one-stop applications". The relevant federal statute (circa 2005) is listed in the bill's text, at the above link.
My sense it this would move Dewey-Burdock along more readily.
It's possible I am wrong, that what passed the SD House and Senate was an agreement on a revised text, but looks to me like it's the bill itself.