Umm, why? they won't care in the slightest. I have never had anyone mention the various Libyan stamps and the only case of any mention I have come across is a friend who was asked at LHR at what he'd been doing in the middle east... when he replied that Libya was nowhere near the middle east that was the end of it

The BA fares to Libya can be ok if booking a roundtrip ticket, just avoid singles

Dave