Agreed, take the bullet and sleep on the floor... She'll appreciate it, and that'll be the first part to showing her interest =)
And makes SURE she knows your doing it because you want her to be comfortable (don't brag, just be happy about sleeping on the floor).
Besides, your a guy. If you can't handle the floor for a few days for the sake of a girl, i'm going to revoke your man card.
"We are all connected to each other biologically, to the earth chemically and to the rest of the universe atomically.
That’s kinda cool! That makes me smile and I actually feel quite large at the end of that.
It’s not that we are better than the universe, we are part of the universe. We are in the universe and the universe is in us."
— Neil deGrasse Tyson