Can I schedule a night restore/wipe? Or other management solution
There are two products in market which i found awesome :)

SureFox :  Kiosk Mode browser for Android Smartphones and Tablet which restricts user to browse only selected Websites, Which has many more options inside Browser Preferences For eg. Private Browsing and many More. try exploring this.

SureLock : You already Know about it ;)

You can try using SureFox on top of SureLock