I work the graveyard shift. My work shift is nominally from 10 PM to 7AM the next morning though it’s usually longer. I sleep during the daytime. This creates an odd situation with regard to the daily prayers. Shacharit comes right before I go to sleep. Minchah falls around when I am waking up. Maariv would perhaps fall in my lunch break. All of this seems rather odd. Should I say the morning prayer in the morning even though I am about to go to sleep? Should I say it when I wake up even though it’s the afternoon? Neither options seems right to me. How should I proceed?

Carry on as you did, Shacharit is the Morning Prayer Mincha during the day and Maariv at night regardless to your personal time table.