Fast Battleship Design 8in

This proposal was labelled as a 8in "Fast Battleship" design from 1938, part of the Iowa design process. But in reality this what you call the battlecruiser version of the Montana class battleships, sacrificing armour for much of extra speed with the same armament and layout!
It was part of a 4 unit design series of a Fast Battleships from which this was the fastest and most lightly armoured and comparatively the "smallest" displacement, the other three featured 6" DP-AA guns as their secondary armament rather the 5"/38 ones. This 6" DP-AA gun was the predecessor of the ones used in the Wichita and intended for some of the Cleveland preliminaries but difficulties in developing the system as well as the lack of appropriate technology meant a long developing time eventually culminating in the Worcester class light cruiser of late/post war.
The other unique choice is the usage of the older Mark 2 16" cannons originally intended for the Lexington class battlecrusiers.
The were a series of 4 design studies for a comparative slow battleship armed with either 16"/45 Mark 6, 16"/50 Mark 2 or 18"/48 Mark 1 cannons.

The designs had these characteristics:
Dimensions: 298,7 (wl) x 32,92 x 10,67m
Displacement: 50.950tons (standard), 62.700tons (full load)
Armour: 58mm deck and 203mm belt over machinery and magazines
Engines: 285.000shp General Electric Steam Turbines, 6 shafts
Speed: 65km/h (35knots)
Armaments:
4x3 16"/50 (406mm) Mark 2 Cannons,
10x2 5"/38 (127mm) Mark 12 Guns,
4x4 1,1"/75 (28mm) Mark 1 AA Guns,

Original sketch drawing:
i.imgur.com/N55BlyL.jpg