I had that problem, and that is why about 10 years ago I invented EXPANDED styles.
The styles are written to be EXPANDED. In other words, each numbered Cell in BiaB becomes a half measure instead of a whole measure. So you can put 8 chords in a measure. Also (and this is more common) you can put a chord on a beat AND the upbeat before the very same beat.
They play well in your EXPANDED song, but since each cell is now only a half measure (2 beats in 4/4 time) you do have to double the tempo. So if your song is to be played at mm=120, double it to 240, EXPAND the song, and it will play perfectly.
To listen to some of my EXPANDED styles, go to
http://www.nortonmusic.com/styledemo.htmlNotes