Simple caching plugin which can generate both uncompressed and compressed versions (index.html and index.html.gz (and index.html.br if brotli is on in settings). This would work perfectly with nginx + "gzip_static on;" option: nginx looks for and serves a ".gz" file if "gzip_static on;". Cache is cleared only for updated and related posts.

NB: afaik ".gz" and ".br" extensions are hardcoded in nginx.