I've been looking for exactly this for a long time! I have also hosted a static (11ty) site on Netlify for a long time!

...and so I can't help thinking there's some dots not being connected somewhere, either in my brain (likely) or in Netlify's communication of their products and offerings (possibly?)

Yep! Netlify's schtick has been easy deployments (including drag and drop) since the start!