The problem with exporting the database only is that chunks, snippets and plugins would not be processed, so their content output would not be in the pages.
If this is going to be a regular occurrence, perhaps a module to emulate the Export Static HTML function and a plugin to change the template to a simple one (don’t forget that any TVs, chunks or snippets in the template itself, and not just the content, need to be processed to get the full final generated page) as the pages are generated.
See the manager/actions/export_site.static.php file. The actual page grab is pretty simple
if(@$handle = fopen($baseURL."/index.php?id=".$docid, "r")) {
$buffer = "";
while (!feof ($handle)) {
$buffer .= fgets($handle, 4096);
}
fclose ($handle);
...
Some value would have to be set (perhaps in the SESSION) for a plugin to trigger on and reset the document’s template to the simple one if that SESSION setting is found.