Since the GPS in my phone is not overly accurate and it eats my phones battery, I've been experimenting with DFX's GPX download on my GPS.
I created a Munzee profile and set up a filter in the Geocache list to only show the Geocache symbols associated with the Munzee types (it's not perfect but close enough).
Scroll the list, select the munzee you want, click go and navigate to it.
The only issue is that the filter does not work on the map so Geocaches and munzees are displayed at the same time.