47.8 miles Finally got all the data off of the GPS, total disance walked (just on the trek, not including time in Cusco or Machu Picchu) was 47.8 miles. The map below shows the entire route, Blue tracks are walking, Green is driving, and Red is train. The tracks are clickable to get details about each segment (day) such as distance and elevation gain/loss.
This was an amazing trip, easily the best one we have been on so far. I think all that's left is to finish pulling the pictures off of the camera, and to starting planning the next vacation.