8pm-4am sounds a lot better. Shifting my schedule later a few hours would be a good compromise. I still get up early, but I don't sacrifice that evening.
Getting a dog is likely not going to solve your problems and you should fully investigate the myriad negative consequences of getting a dog, including robbing you of your freedom. Also, if you don't live in a house where the dog has free access to a backyard I strongly recommend against it.
Your are going to need to socialize it as a puppy. Going out on walks at 5 am does not sound like a good socialization opportunity. And what is the dog going to do while you're at school?
Sure, you can control any dog by beating them (literally) into submission...but you won't have a dog that enjoys your presence. His tactics are effectively "Be the boss, choke that dog, ALPHA ROLL....see how well it's behaving now? Shaking and with it's tail between it's legs?"
If you get a dog, invest some time in learning about positive reinforcement training and buy yourself a $1 clicker. Your dog will love it, love you and retain it's natural curiosity...instead of crushing all sense of self-importance and initiative.
My point is: you don't necessarily need the dog.
It does curtail your lifestyle somewhat but so does having a family. We jokingly refer to him as our 'practice run' for having a child.
I could survive in the city with a kid and no car. With a dog, I need a car to take him anywhere outside of walking distance.
We live 200 metres from a very large off leash dog park. Lots of dogs means good socialisation. Lots of off leash exercise means a contented dog who doesnt bark or cause trouble.
If the park wasnt so close we either wouldnt be living here or wouldnt have a dog. Its essential in an urban area.