The pushes, as defined by BIAB, often do not "line up" with the push I have written (composed?
) into a song as I feel it. And I have done it a bunch...
I have found (after much experimentation) that the best (easiest?) thing to do is to define the push yourself in your DAW and edit the BIAB tracks in your DAW to fit YOUR push. It doesn't take a lot of effort.
You can start with a predefined push from BIAB (or not). Once your tracks are set up in your DAW, record an instrument of your own, playing along with the tracks, and playing pushes as you feel them (not strictly following the track at that moment). Then cut whatever section necessary in the BIAB tracks and slide the "hits" (be it chords or notes or drum hits) to match your playing. (I use an acoustic guitar, but any instrument will do...)
I can give examples of songs where I have done this if you need them...