Could you be so kind as to define "rig", please?which rig I should bring down.
If you are asking what "gear" or "cameras and lenses" you should bring while travelling, then here is some advice:
Just bring what you are most comfortable with and know how to use with your eyes closed!
It is no use to bring a camera that you hardly know or are uncomfortable with. You already discounted your Canon, so which of the 2 systems you have, you feel more at ease, that's the one you should bring. The same for your girlfriend.
Good shooting kid!