Hi,
i bet ringing is a 3.56 MHz.
The L with the two paralleled Cs give a wonderful resonant.
F = 1 / ( 2 * PI * sqr(L * C))
adding a series resistor dampens the resonant, but also decreases the filtering and step response.
Instead of the low ohmic series resistor connect an RC in parallel to the Cs. C = 100n, R= 100
Additionally put a 10u tanatalum in parallel to the supply Cs for better response on higher load.
Or is this situation unlikely to occur in the real world?
Indeed it happens too often in reality.
This is one point why electronic equipment react on electromagnetic fields.
A inductivity (wanted or unwanted) combinied with a capacitor is problematic when no load ias connected.
A load - and this might be a LED for example - helps to reduce the resonant.
With the RC we built a load that consumes no power during normal operation...
Hope this helps
Klaus