I have a question on how I can bi-amp with my BAT.

It comes with single ended and balanced outputs. My plan is to bi-amp my 1.6QR. Tube amp for my highs and my current HCA-2 for everything below.
I'm thinking that my plan will not work, cuz the outputs(SE & XLR) of my pre are not the same. Is there a something I can do to achieve this with my BAT? Or should I start looking for Manley Shrimp in a near future?

Thanks!

JRA