For heaven's sake, take this up to corporate ladder, and make sure that loss prevention is involved.
They owe you big time.
They put your wife in an unsafe room. By their own admission. Housekeeping ignored the DND sign and entered the room. By their own admission. Housekeeping left the door open and valuables were moved. By their own admission. And that's if their own explanation is true.
If they aren't telling the truth, things are even worse.
Make sure your wife is in a safe room or find another hotel at once. And when that's been done, call corporate and ask for loss prevention.
Good luck.