Hi! Yesterday I installed DUIK and in a half an hour I stumbled upon the same problem.
And I found a really simple solution – no duplicating the whole rig, not at all.
Just expand the properties of your shape layer (it works only with shapes), go to Shape X > Transform: Shape X and change the values there. I even created another Null object with two checkbox expressions, because I needed it to flip my right and left foot.
Under the scale of Transform: Shape X I wrote this code:
if (thisComp.layer("Flips").effect("Left Foot")("Checkbox") == 1) [100,100] else [-100,100]
Flips is the name of the Null object, Left Foot is the name of the Checkbox expression controller. And whenever I check that box in the Null object, it flips the foot. It can be even animated. The same goes for the other foot. 🙂
EDIT: Better yet, don’t create another Null object, but use the DUIK Controller Null object where you can find the remaining controllers for your rig. 🙂