LNL - just buy D a cute little sleeping bag so she can sleep on the floor or the sofa when she goes there. None of the rest of that stuff will get you what you want.
And you ARE ASSuming a little bit here - wasn't there some prior discussion of an alternate sleeping arrangement made last time? Maybe your D ISN'T sharing the bed with them this time.
Who knows. Just think now about what YOU want and deserve in your life, and go after it!