Inlet power filter grounding considerations

[Nevada]

Hi,

I have some older test equipment with "classical" power input filter (by Schaffner), without ground pin. The device is double insulated, so it can't be grounded to the PE (AFAIK).

How can I replace the filter correctly? If I simply buy a new filter with the usual IEC socket (L/N/PE), then I technically ground the device to the PE, since it has metal case, and the filter has also a metal shield, which is directly connected to the ground (PE pin). The other problem is that the circuit in the new filters is also connected to the metal shiled, which means that at least one or two capacitor is present between the L and the metal housing. I feel that I can't simply put a new (grounded) filter in it if I don't want to break the double insulation rules.