Assuming I interpret the following correctly: "Is there another way to have multiple tracks feed a single VST, with fader (output) control of each track?"...I believe the short answer is no IF what you want to do is mix three tracks into a single VST, then split the output of a single VST three ways so that these outputs join the three tracks that were mixed together, with the output inserting after the FX bin but before the channel fader.
Once the signals are mixed together to go into a single VST, there is no way to "unmix" them after the VST.
Karyn's solution is the simplest one: Three DI tracks, three inserts of AmpliTube with identical settings, three output controls.