The apparatus suggests a way to prevent run-away
without using a rheostat, ammeter or constant-current
circuitry.

Make two electrolysis cells, identical except that one
has silver electrodes and the other has copper electrodes.
Put them in series with a suitable voltage supply.
The cell with the silver electrodes will generate EIS.
The cell with the copper electrodes will limit the
process in the other cell, avoiding runaway.

Matthew