Hey Diana, Great to have ya!
I did a little research and it doesn't look like there are a whole lot of dorms beds available for the night of May 30, you might wanna book the private room for May 30 and book a dorm for the other nights you there, they are available for the 31 and the 1 of June.
here is one I found that the prices are not too bad, they are in US $$
Hotel Andre Gill, Paris, France
Hope that helps ya some!