Have your sstate you want to serve up somewhere like /bigdir/sstate-cache-all
Run this container and bind mount that dir in:
** $ docker run --name sstate-nginx -p 8080:80 -v /bigdir/sstate-cache-all:/usr/share/nginx/sstate:ro -d --rm bavery/sstate-nginx
To see error logs from nginx:
** $ docker logs sstate-nginx