Don't know about the airline itself. I spent a bit over two years in Libya, all over the country with only short stays in Tripoli, and I enjoyed it immensely. It's quieter and perhaps a bit more... how should I say... civilised is not quite the right word... than the other countries in North Africa, although when I was there it was just after the embargo which obviously left a deep mark in the country's infrastructure and development level (still not ATMs in my time for example), but it was nice anyway.
They have quite a close and surprisingly warm (given its history) relation with Italy so that probably plays to your advantage as well.
There is one of the mods here who if I'm not mistaken works for the airline in TIP. I'm sure he can fill you in on more specific and up to date details. Good luck.