Scaling Arrowhead for a 96-cell missile destroyer

What displacement would an Arrowhead-derived Aegis destroyer with three five-inch guns and 96 VLS cells require?

The roughly 10,000 tons proposed in the question is accepted, with the weapons associated with an Arrowhead 160-scale derivative rather than the standard Arrowhead 140.

The question already gives a displacement of roughly 10,000 tons for its Aegis-equipped destroyer with ninety-six VLS cells and three 5-inch guns. The answer associates that armament with an adapted Arrowhead 160 rather than the standard Arrowhead 140. It describes Arrowhead as a scalable design approach, mentioning 120, 140, 160, and a possible 180 in the notes being consulted. The existence and prospects of the larger variants are discussed cautiously, particularly whether a 180 would ever be built. A closing joke imagines the largest proposal helping the Treasury feel better about funding a smaller ship.