Some time ago we have actually put together a very rough prototype of a BlackBox subsystem Web. The subsystem "Web" allows you to publish simple BlackBox documents and forms as web pages.
The documentation that is included assumes that the Web subsystem is used together with a CGI-capable web server (e.g. Apache or Microsoft IIS). In order to facilitate experimentation with our subsystem web, you need additionally Stewart Greenhill's lightweight web server "Dbu" which runs directly from within BlackBox.