I travelled 2 nights without staying at a hotel on a Malaga, Spain to US route.

Day 1: Awake at approx. 7 a.m., 11 p.m.:take overnight ferry to Melilla, a Spanish colony in North Africa.

Day 2: arrive at approx. 6 a.m., see Melilla, walk to airport (where there was a wreckage of a Fokker F50 crash near the street) (Ouch!)
Take evening flight to Malage, take flight to Luton (UK) arriving at about 2 am

Day 3: take bus from approx 3 am to London, then Gatwick, then to the US, arrive that night.

Approx 40 hours without a bed, but less time without a shower as Gatwick has showers!