Hello Andreas,
this is currently not supported using only BigBlueButton and, as far as I know, there are no developers working on this.
Currently depending on choice of server hardware and system configuration, meetings up to approximately 400 participants can be done using BBB. However, for anything bigger than 150 participants, I'd suggest using a video-live-streaming solution instead. Those systems usually support an origin-edge architecture and thus support streaming the video of the conference to thousands of users concurrently.
The easiest way would be to just run Open broadcaster Software (OBS) on one computer that streams the video to Twitch/YouTube/... or your own service (OwnCast is great for this), and then the view-only participants get to see the video stream (with chat if you want) on your website.