Could a Fletcher beat an early battleship with guns alone?

What is the latest battleship a Fletcher-class destroyer could reliably defeat in a gunfight?

It could reliably overwhelm older pre-dreadnoughts and perhaps disable later ships, but armored citadels and heavy turrets make dreadnoughts too dangerous for a dependable guns-only victory.

A Fletcher could control range, hit rapidly, burn exposed upperworks, and render many early battleships combat ineffective. Reliably defeating later pre-dreadnoughts or dreadnoughts with guns alone is harder because five-inch shells cannot penetrate the armored citadel or securely silence main turrets, while even one old 12-inch hit could destroy the Fletcher. The answer therefore draws a distinction between disabling a ship and sinking or conclusively defeating it.