Loft projection beyond original curves onto surfaces?

I have two closed coplanar curves that I normally Loft (or NetworkSrf) and I would like to be able to extend the lofting out beyond the original source curves and extract what their projection would be on two distant planes. This seems like it is either very simple or very hard.

A loft of just 2 curves is going to be pretty easy to extend with ExtendSrf.

Hi Carl - hard to say for sure but from the image it looks like Project of the curves with the Direction option in Project set to the line should do it.