I just ran cross a brand called Vicenza (there's currently a Vincenza shoe in the Anthro catalog). I didn't see anything right now that is similar to the shoe your are going to be replacing, but I did get feminine, strappy, natural vibe from some of their previous offerings. Maybe it is a brand worth keeping on your radar when you begin to look for replacement sandals.
I included a find for the Anthro pair even though it's not the look that spoke to me...