Work with Pages?

Here is the function that adds the export box to the page editor:
https://plugins.trac.wordpress.org/browser/dirty-suds-export-to-indesign/trunk/export.php#L44

add_meta_box( 'dirtysuds_export_html', 'Export Post', 'dirtysuds_export_html_box_inner', 'post', 'side','high' );

I think all you need to do is call this again but swap post for page. That would be a good start anyway.

Can you just add ?export=taggedtext to your live Page URLs?