Some possible (self organized) places to stay

Meininger: http://www.meininger-hotels.com/meininger-hostels/ho-s-tel/staedtehaeuser/berlin-hostels/

Pfefferbett: http://www.pfefferbett.de/

Die Etage: http://www.die-etage.de/

Generator: http://www.generatorhostels.com/en/berlin/local_info

Motel One: https://www.motel-one.de/

and not to forget, sommercampstyle - the Tentstation: http://www.tentstation.de/englisch/index.php which is actually very close by and the perfect place!