There weren't any plans for the BASSenc server to have that feature, as it's already covered by Icecast/Shoutcast, and it doesn't really fit the current model of a server being assigned to an encoder. Do you have a scenario in mind where Icecast/Shoutcast don't cover it?
If it's needed now, I think it would be possible to implement by using a PCM encoder (BASS_ENCODE_PCM) to feed pre-encoded data to the server, like in this example from the BASS_Encode_ServerInit docs:
dummy = BASS_StreamCreate(44100, 1, BASS_STREAM_DECODE, STREAMPROC_DUMMY, NULL); // create a dummy stream to host the encoder
encoder = BASS_Encode_Start(dummy, NULL, BASS_ENCODE_PCM | BASS_ENCODE_NOHEAD, NULL, NULL); // setup the PCM encoder
BASS_Encode_ServerInit(encoder, "8000", 64000, 64000, 0, NULL, NULL); // start the server
...
BASS_Encode_Write(encoder, data, length); // feed encoded data to the encoder/server (repeat periodically)
In this case, the encoded data would be coming from a socket.