If I were you, I would ask them if you can come to interview. Don't waste time with paper in this case: how on earth can you know what you write is what he wants to hear? In my opinion they are being cheapskates and don't want to go through the effort and time of a proper interview to find out what you know.

Another alternative is to say you are prepared to make yourself available for an initial telephone interview at a time of their choosing. However, don't hold your breath.