Machining on Opposite Sides

I'm confronted with the problem of machining two sides of the same
material. The piece is irregular on its perimeter dimension, that is
not square or rectangular or round. I'd like to reference the part
zero on side 1 on side 2 and perhaps just mirror some of the
commands. I'm trying to avoid having to use edge finders and such on
the opposite side to find the same part zero on the other side. The
part has 2 flat sides on its perimeter that meet at 90 degrees with a
large fillet between them. I'm using the imaginary point where the
two lines would meet without the fillet as my part zero on side 1.

I'm using locating pins along the two flat sides to locate the part
and fix the part zero. Any easy way to go about this? I'm going to be
making many of these parts and I don't want to have to fuss over it
every time I turn the part over.

Eric