I don't think there's a single furnished house that can be checked in the Ala Mhigan Style in Gyre abania. Only the Gridanian ones can be entered. I checked every settlement I could find in all three zones and could not find a single one. Which as someone who has a character with family origins in Ala Mhigo, I wanted to take a screenshot in a house there, but could not find a single one.

I second the notion of an Ala Mhigan restoration idea though. That would be cool