Is it essential to see the current floor and all floors below?
If you only need to see the current floor, just ctrl-A/cmd-A (select all) and F5 (or whatever your shortcut key is for 'show selected in 3D'). Voila.
If you do want to just omit higher stories, then create a series of views, one for each story, with 3D setting set to not show the stories above. Just double-click the saved 3D view for the story you're editing from then on to see what you want.
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