I am the exact same way, the owl is actually my spirit guide. When I go through the sleeping patterns that you are describing here I start feeling fuzzy and depleted in the body and mind during the day, and like you said, still cannot fall asleep early enough.
I used to drink coffee, but it causes violent mood swings for me and honestly makes me more tired than awake unless I keep drinking it all day, but then I get horribly depressed/irritated. I had to quit coffee for this reason. It also dehydrated me too much.
I feel like coffee does not give energy but rather helps burn whatever is left. Which is why it is not a great idea to use it on its own when you are very tired. If you can nap (which I can’t easily do) then taking coffee before a nap is more efficient. It takes 45 minutes or so for the body to absorb the caffeine, meanwhile you nap to rebuild your energy that will be burnt by the coffee when you wake up.
Coffee precision lol. I like it.