A couple of questions that might be either dumb or smart, depending:
(1) How frequent and how regular (predictable in time and level) are the pops?
(2) If record for a stretch of time with nothing at all connected to the input of your MV 100, do the pops still happen?
(3) Can you operate the powering device with no microphones connected? If you do so, and connect its outputs to the inputs of the MV 100 and you record for a stretch of time, do the pops still happen?
(4) (sorry, I don't know your microphones, so ...) Do you have a way of connecting the left microphone to the right input of the powering device and vice versa? If you do that, does the problem move to the other channel or does it stay in the same channel where you hear it now?
--best regards