Hi Alex,
I would be using Audiomoth 1.2.0 as USB mic device or Audiomoth USB microphone, probably the latter, so without the battery holder. Do you mean the hydrophone needs to have a DC offset voltage with PIP active or with the resistor removed? Is there no capacitor in the audio input line to the preamp to remove any DC offset and PIP DC? My guess would be the first 20 dB preamp does not need any DC....?
My hydrophone has a built in preamp 20dB powered by a 9V battery, the signal is balanced XLR, but I will use only one pin (unbalanced) to connect to the Audiomoth USB mic connector. Actually, I hope it will not have any DC offset.