I mean FLAC in an Ogg container (most people equate Ogg=Vorbis, but Vorbis is an audio codec, Ogg is a container).
"OggFLAC" is the non-official term for it. Icecast works with it.
Then yes, at your encoder, where-ever it is, encode to whatever flavor of AAC 960 you need… etc…
The other option is to compile an AAC 960 encoder for Windows and use it in BaOne with the custom encoder option, but I would think that there could be issues with getting everything to sync correctly, and your Mux (or whatever software you're using to align everything before sending to your Mux) would have to be able to pull from an Icecast server…