Dalby39 and I had some prior off line chat about this. A couple of points in case of use to others:
There are some notes on the common Lorentz/Polarisation factors at:
http://topas.dur.ac.uk/topaswiki/doku.php?id=lorentz_and_polarisation_factors
There’s also more information in the book linked in the tab at the top of this page.
In your “unusual” geometry I’d always suggest measuring a standard in exactly the same conditions as the best way of making sure you have corrections correct.