Plans to replace America's oldest battleships

Did the US Navy plan to replace Arkansas and the New York-class battleships with more useful ships?

Plans existed, but treaty limits and practical realities constrained their execution.

Replacement plans existed. Naval treaties constrained what could be built and when, while practical fleet realities also shaped what could actually be retired. The answer does not identify a single approved successor or timetable. Planning for replacement did not guarantee that a programme could be carried through.