JMLoomy, I am completely in my senses.
I know what I am suggesting the OP and also know that he/she wants to record the live streaming from the mac and not from the speakers.
It doesn’t matter whether he/she is recording the audio from the macbook or any external speakers because if the room is noisy than obviously the ambient room noise will be recorded.
To reduce or make the room noise as low as possible (to get the best audio recording), I recommended the OP to try to record the radio live streaming audio in a silent room. Does it makes any sense to you....??
And BTW, I am not showing any superiority by throwing around exclamation points. Its just my humble way of suggesting something.