Is it a solid surfaced floor or does it have some kind of pattern on it that you could use for easy reference points?
Will they allow any kind of tape? I've used painter's tape before instead of spike(just for reference points; even if they have to be struck and re-marked each day). If no adhesive thing of any kind is allowed, then if you just need reference point for during rehearsal then try anything that's small and weighted. I've used small blocks of wood, rocks, even those removable suction cups on hardwood floor (the ones used for windows; just take a colored sharpie to them, since they're usually clear).
For quick re-taping, if you don't want to use a measuring tape every time (though Iv'e found often it's the quickest method), I've used string/ribbon cut to the lengths of some of the walls and then just laid them all out before rehearsal started and marked the needed points for rehearsal reference.
Hopefully others will have ideas as well.
