No. They currently live in Taipei. They hope to enroll their daughter in the Humanities Primary and Junior High School in Toucheng, which is in Yilan County next to Taipei.
There was some discussion of mountain schools in Taipei a few years back here and more recently here.
In Taichung, I would be interested in P’uma Elementary School ( 臺中市博屋瑪國民小學).
This experimental school in Hualien looks pretty cool to me. Beautiful area.
Here’s another forest school in Hualien.
I believe a friend sends his daughter to the Tzu Chi Elementary School in Hualien and is pretty happy with it.
Here’s a ‘forest school’ near Taitung that might work.