I just got back from a trip with the Mudita Kompakt - not quite what you're describing, but close:

* 4.3" monochrome e-Ink display

* no web browser, no email client

* de-Googled Android; only way to load apps is via APK from a computer

* hardware switch to turn off all radios, for the privacy-concerned

The built-in software is still a work-in-progress (eg the music player hasn't got FOLDER support yet!) but you can find e-Ink-friendly apps on repos like F-Droid.