I routinely fall into that same sleep schedule, I used to try and "fix" it by staying awake an entire night and day then sleeping at ~midnight.
But you've got to think about why you're body or work habits lead you there, for me its because I'm most productive between 11:00pm and 7:00am. There are no distractions.
Those days that I do get up at ~9:00am I don't end up getting much work done - there's just too much to do outside the house, or too many distractions at the coffee shop.
I say keep your schedule, grind during the night hours if thats what works for you.
But you've got to think about why you're body or work habits lead you there, for me its because I'm most productive between 11:00pm and 7:00am. There are no distractions.
Those days that I do get up at ~9:00am I don't end up getting much work done - there's just too much to do outside the house, or too many distractions at the coffee shop.
I say keep your schedule, grind during the night hours if thats what works for you.