You are missing the AIU option initially suggested: https://mthtrains.com/sites/de...ction/20as16818i.pdf
Replace the switch with the AIU. Instead of powering the accessory from post TIU power, take it from a variable power source. You end up with something like this (compatible with standard TIU and Track Power Supply, or any other power/command systems for track power with common ground):
This is just like what is shown on page 8 of the AIU user guide linked.