Interested in this, also. It seems like the airport is small enough, and that getting through transfer security isn't that complicated...BUT, the big question is the issuing of Boarding Passes.
Is it possible to print a boarding pass from online check-in leaving BEY? Are there restrictions based on where you're traveling to? Is it possible to have a staff member in DOH (at the lounge or otherwise) print a boarding pass from BEY for you?
Or do the staff at Beirut HAVE to do a document check in person before issuing a boarding pass? In that case, is the transfer desk adequately staffed?