A few updates: The Nordstrom's Louise et Cie patent oxfords arrived today, and were recommended for low volume feet. Sadly, the shoes cut into my ankle bone, were gaping above my the top of my foot even with the laces tied tightly, and flopped when I walked. I think they could work for those with higher ankles a normal arches, but not for low volume flat feet.
I popped into Frye to try on a few pairs of shoes and stayed as long as frustration levels allowed. Surprisingly, a possible winner might be a heeled [!] oxford. Buttery soft and giving leather, a comfortable arch, and a very stable and sturdy heel. Not sure how these would feel after thirty minutes of walking, but I recommend them because they were instantly comfortable [or, for the pedi challenged, less uncomfortable than other options].