We'll have a look tonight but I'm thinking staying somewhere the night before and getting an early Luton flight is better than flying at night, staying awake for the flight and arriving having missed an entire night's sleep at 4am. I'm too old for that shit nowdays.
Luton is closer to us. I'd go out to Luton the night before and there's lots of cheap hotels nearby. Of course, this assumes I can change the flight.