Docker with nginx because that’s your delivery pipeline. It’s much more common to have a place to run an OCI container than a directory to upload static HTML. CDNs operate on this model but there aren’t many turnkey “on-prem” solutions. The tooling to run a container and get it hooked into your web tier with routes is actually the easier path these days.

Edit: More

The reason for this model is that it makes everything the same and your caching tier is the great equalizer. Everything is a backend for your caching SSL terminating reverse proxy. And your static site will live in the cache for ages so once your cache is warm there’s no real performance hit.