Master student Political Science

Hej!
My name is Michaël Lantmeeters a Belgian student pursuing his Master degree in Political Science with a focus on EU foreign and defense policy.I am going on an Erasmus to Copenhagen, Denmark for one semester for the period of 01/09/2016 until 01/02/2017.I need a room somewhere in Copenhagen by which I can easily reach the University of Copenhagen.The price for renting a room is preferably as low as possible, but I am willing to pay up to 5000 dkk or 670 euro.On its own I am flexible with the exact starting and end date, since I know that it is not easy to find a room with these conditions.I have been looking for a room in Copenhagen for over a month now and it seems to be incredibly hard to find something there.I also started a bit late in intensifying my search since I have been accepted to study at NYU and Columbia University.
I was trying to financially make that work out first before firmly committing myself to studying in Copenhagen.It was impossible to financially make it work to study in New York therefore I am going on my Erasmus.I don't even need my own room or apartment, I am open to living with a family there in Copenhagen.
A little bit about myself. I am a private, responsible and clean person who likes reading, writing and who regularly does sports like running and swimming. I am open-minded, flexible, like a challenge, love traveling, experiencing new things, playing video games and greatly enjoy witty conversations. My interests are politics, history, foreign affairs, philosophy, human rights, technology, podcasting and traveling.I am fluent in Dutch and English, speak some French and German, and I would like to learn Danish. 

If you have such a room for me or know someone that maybe has that kind of room for me, please let me know. 
Kind Regards,Michaël Lantmeeters