Large overseas cruisers in a fast-battleship race

If the prewar race centered on fast battleships, what kind of large cruiser might emerge for overseas duty before a treaty?

The estimate is a 15,000- to 18,000-ton cruiser armed somewhere between 9.2-inch and 12-inch guns by about 1920.

A fast-battleship race removes some of the rationale for a separate battlecruiser line but does not eliminate the need for long-range overseas power. The resulting large cruiser would be heavy enough to dominate conventional cruisers without matching a capital ship's size. The estimate gives a useful scale for that intermediate role immediately before treaty categories harden.