My husband and I are considering a flight that has us landing at 11:00pm at Lima Airport- Then leaving at 5:40am the next morning for Cusco. We were informed that we should be back at the airport by 4am. My question is- does anyone know of a close/safe/inexpensive hotel were we can get a couple hours of sleep? Any insight would be greatly appreciated. If we were traveling in the states I would just hang at the airport- but I have gotten the impression that Lima Airport is very unsafe.