What about using `wget --mirror` (with the set of right command line arguments to adjust it to your needs) on a local dynamic site to obtain a fully functional static copy that you can then upload to any server?
This, and the plugin option suggested by jasongill above, sound like they would suit my needs. I don't mind hosting wordpress to use as an editor (as performance is not important). I just don't want Wordpress to be in charge of serving the content.
