The soundflower website looks rather basic, which doesn't inspire confidence, and doesn't seem to say it is free, Also the 'issues' page has a worrying number of apparent problems logged.
If I go with it, I am not clear how I access the BBC radio broadcast to record it : I am only familiar with accessing broadcasts from my radio tuner via an audio cable into the 'audio in' port.
I do know what you mean about the site - there's more friendly info at http://cycling74.com/products/soundflower/
with any such things - be sure that you know how to uninstall it in case of problems.
Once installed - (and yes, it is free) you'd be able to select the system sound output, as the recording input for say garageband, audacity, or even the included Quicktime when making an audio recording. Hopefully, you could then replay the broadcast that you missed part of due to GB stopping unexpectedly, and record it just as if it were live.
Thanks : the link you gave for sunflower in your previous post opened a completely different site to the link in your latest post.
I'm afraid your suggestions and what I read on the website are above my competence or comprehension
If I can't find a way round GB quitting with the message . . .
‘File size limit reached. Audio recordings are limited to a file size of 2 gigabytes. This recording has reached the file size limit. Recording will stop, and the recording up to this point will be preserved'
. . . . then I want an application that is as similar as possible in terms of connecting to a radio broadcast, recording, editing and saving to iTunes or burning to CD.
It's possible that quicktime audio recordings can be longer, since it uses a different format, although the quality should be adequate coming from an fm tuner. That will create a .mov file which can be played in iTunes.
I'd try to get into soundflower or some other system audio recording method - since you'll at least be able to re-record the one which was cut short, albeit still needing a recorder - Audacity or similar.