OK, well, I've been poking around a little more...
I assume that you're right, virtualtroy, and that they're not ticketable in the UK due to the whole SITI thing going on there. However, if you do a search on the LH forum, there are suggestions that non-Libyan TAs can actually ticket these itineraries.
Also, the fares for BA are available on the BA website, although you need to call them for offline ticketing. I've had no problem doing this for ex-BUD fares before, and others have had no problems doing this for the famous ex-LIS fares.
Now, where it gets more intriguing...
You don't need a visa to enter Libya if you are transiting 'on the first connecting flight, within 24 hours and don't leave the airport'. This assumes the pre-requisites of having an MSA translation of your passport, and the other entry criteria (no Israeli passports, no Israeli stamps, regulations on female citizens of Arab League countries travelling alone, and more). It should also be noted that this is not allowed for German citizens.
So, this would appear to make a turnaround without a visa possible for many.
Further to this, there is a claim that, if you book a flight out of Libya on one airline, then an onward flight with another, where the two booking systems are not linked, you can get away with throwing away the first coupon. Looking at the itineraries returned, there is the possibility of getting a connecting flight from LN (Libyan Arab Airlines) to SQ or LH in IST or FRA.
Both of these schemes are rather risky. Nobody relishes the prospect of being deported from Libya, and the throwaway ticketing leaves you open to having your itinerary cancelled, or even potentially having your FF account liquidated, being retrospectively charged the ex-FRA fare, or even sued for the difference.
But now this is openly posted on the LH forum, I wonder how long the fares will stay open for? I know LH heavily restricted the ex-CAI fares, allegedly after reading about the Flyertalk 'creative routing' postings.
Any thoughts?