IF you are going to press for Battleships, then you'd better push for the slower battleships that supported all the landings made. The Clipper bow Battleships, New Mexico, Idaho, Mississippi, Tennessee, California, West Virginia, Maryland, all took part in supporting landings. They also participated in the last Battleship vs Battleship fight in history at Surigo Straight where they crossed the T and hammered the Japanese ships coming at them.
The fast battleships were part of the fast carrier groups that fought other Japanese carrier groups. I don't see that happening in AH, but I do see folks trying to close on shore to take a base and support it with gunfire from cruisers and destroyers.