The 3DRT Setup Utility outputs also an iframe.html page which you can use to display a rotation in any LightBox that support displaying iframes/wbpages.
Nivo Lightbox
Here you can view (and download) an example here:
https://www.yofla.com/3d-rotate/3drt_examples/lightbox-nivo/
You can downlaod the Nivo Lightbox from here (MIT) License:
https://github.com/gilbitron/Nivo-Lightbox