We ended up using this script to map the users' OneDrive and 'Favorited' Sharepoint sites to a drive letter during logon:
TechNet OneDriveMapper automatically map your OneDrive for Business upon login
https://www.lieben.nu/liebensraum/onedrivemapper/onedrivemapper-faq/
Still struggling with minor issues, although the script does work fairly well with minimal setup.