What might follow the 1920 South Dakota class

What might the US Navy have built after the 1920 South Dakota class?

Probably another development of the twelve-gun 16-inch concept first, with an 18-inch class possible later if foreign construction and Congress justified the extra development.

Two plausible steps follow: another twelve-gun 16-inch design related to South Dakota, then an 18-inch class once the larger weapon had been developed. A British 18-inch ship might prompt Congress to fund that escalation, but gun development and political authorization would take time. Battleship evolution depended on threat perception, industrial lead time, and legislative support.