I am a night owl and I find myself most productive creatively after midnight. I just don't like being disturbed and midnight is the time where I am certain nothing would bother me.
The temperature also suits me better. Living in Malaysia, where it's summer every day, the daytime can be too hot for me to be productive. I would be fine in an office but I am a work-from-home freelancer and I don't have aircond to cool myself off.
Your situation is pretty much the same with me. I work from cafe or co-working often during the day. Also same, midnight is when I get more creative which is also why I switch my sleep like that just so I can be awake while rested too.