Ben,
The Schertler isn’t actually a piezo, it’s a electrostatic, that has minimal voltage running out to the pickup. Since your running the Stat B >Schertler Pre> Headway>Trickfish you have three preamps and two EQ sections. Each of those sections add noise. The Stat B Preamp is proprietary. You have to use it with the Stat B or one of the other Schertler Preamps. The Realists and the Headway work well with each other, especially if you bypass the preamp and use the effects loop in on the Trickfish. Just my take though. The Schertler into the Trickfish is your simplest option.
You can use the phantom power (I think 11 volts) that is available on channel 1 of the EBD-2 and EBD-2 HE and set the switch to tip. That Schertler preamp I have has issues. Something was shorting from the board to the metal cover, but even after correcting that it still had noise, plus it had a nasal honk when going directly to an amp/ It always had noise and had a nasal honk. The Headway corrected that.