I know this changes over time. Some time back (I believe it was Vincent Setterholm—miss that guy) there was a recommendation to use BHW. It's probably something else now. Also, any idea how long before the next revision will be released?
What has Stuttgart to do with Westminster (or rather Glenside, PA)?
BHS is being replaced by BHQ but this is still a work in progress:
https://www.logos.com/product/197841/biblia-hebraica-quinta-with-apparatus-bhq
Scholarly Bible Editions - www.die-bibel.de will help you choose the best scholarly edition for your purpposes.
