FIXED IT!

This was a hard one! :? . Using the control's ProcessEvent wouldn't work since the wxwidgets "shift-tab eating bug" occurs at this function. So I had to dig into the STC source code (Thank GOD for Open Source!) and found what I was looking for: wxStyledTextCtrl's SendMsg function (2328 is backtab).
The rest was just a matter of adding Shift-Tab to the accelerator keys (main.cpp). Ta-da!