I love going to get some at 2 in the morning, or whenever. Sometimes I'm wrapping up an encounter as the sun's coming up (kinda cool to see everyone going to work). It just seems to 'feel better' at that time for some reason rather than doing it during 'normal' hours.
Usually I like daytime sessions but for a really hot woman I would definitely make an exception. I once got a booty call at 2:00 am and I couldn't get there fast enough.
The only time I'm up for late night fun (literally) is if I just left a nightclub. That definitely puts me in the mood for a provider. Besides, taking a lady home from a night club is like Chinese Algebra.