Today while I was perusing through Norman friedman's
U.S. Battleships: An Illustrated Design History I stumbled upon a design study form 1919 by burOrd (pp. 179) and drew this fron their sketch:
it's armed with 4/2-18"/45s, 6/3 6", 9-5"/25s
I approximate it's length at 807 ft OAL.
Here is my Rendition of thier sketch
I think I might play "What if".