The most efficient and clean way to erase remanent magnetization is to heat the core to above its Curie temperature. But this is often impractical.
When using AC fields to demagnetize, it is very important that the current profile also has a decay term. If you only run an AC current, and then switch it off, the magnet will be stuck with whatever field direction the last AC lobe had.
One "simple" way to realize an oscillatory and decaying current is to hook up the magnet with a non-polar capacitor, charge the capacitor through the magnet, and then disconnect the voltage source and short-circuit the cap to the other coil end. If the coil has a low enough resistance (or high enough inductance), it will oscillate.
The capacitor should have a rather low capacitance ~1 uF, so it will not form a dominant RC lowpass with the series resistance of the coil.
This wont work well for very resistive magnets, as they are overdamped and won't resonate in an oscillatory fashion.
However, if your actual goal is just to release the load, a simple spacer will probably suffice.