Musicforthemasses, unfotunately, I do not know about the bed situation. I'm sure if you contact Carnival, I believe they would be able to tell you about the bed situation on the floors or cabins.
So you are from Germany, how nice. The reason I say this is my father who has since passed away, was born in Germany, so thus, I am "half" German too.
If/when you go, I hope you enjoy your Triumph cruise as much as we did.