AAAfrica,
The only thing I know about business in Libya is that you need a big dose of patience. With that, all will be ok (Insha'Allah!) 
I don't know how many tasks you're hoping to achieve in 1.5 days, but you may be aware (and should be made aware if not) that people here are not respecters of time! Having lived in the region for nearly 7 years, I learnt to lower my sights with regards to how much I hope to achieve in any one day! People can and will be late for meetings, there may be many interruptions so a 1 hour meeting can take 2/3 hours and then you may be asked to "come back", also traffic in Tripoli these days is a nightmare! In my office we've taken to discussing it like the Brits discuss the weather (the men flex their muscles with stories of who took the longest time to get from Souk al Talat to Hai Al Andalus area
).
I don't know of any discrimination.. "Black" Libyans seem to be a lot more integrated here than say in Egypt. Of course as with most 3rd world countries lighter is best, but I see many darker skinned people in high level positions, so it can't be that bad. Her gender will be the bigger obstacle.
A couple of weeks back, I heard about a villa available for rent in the Ghot Al Shael area (close to Al Waha bank). I was told: 3 stories, 15 rooms, 6 bathrooms, 6 kitchens, room for gate keeper, 8 cars parking and 2 entrances. I can check if it's still available if you need.