I'm pretty suspicious of the membrane resistance which is a few
ohms per cm2 as the culprit. So any suggestions for more
conductive aluminiumised Mylar would be greatly appreciated!
Whatever few ohms there don't matter compared to the Gigaohm input
resistance of the Alice circuit.
Look elsewhere. Surely 20 micron thickness does not help with
sensitivity, but all the parasitic capacitances are probably the
main culprit.