I, for one, have always solved this by moving to RB and trying different styles on single tracks there.
Get basic chords/feel then move to RB.

You'll rarely do a Generate All in BiaB and get all tracks as 'golden nuggets'.
In RB you can pick away at each one, knowing what you want for that particular track, which helps narrow style selection, or at least RT selection. Sometimes the RT name is a better clue to what you'll get.

Sometimes you may want a jazz feel, but a thumpin walkin bass .. or maybe even grunge drums on a bluegrass type song <grin> (I've actually done that one).

More granularity helps for me.

Make your sound your own!
.. I do not work here, but the benefits are still awesome