I don't know why you would do sort of a reverse kind of scam or what the benefit is to the scammer?
How this type of scam works is the scammer says s/he wants to rent the room. They will then say they will send you a check for more than the rent. They will ask you to send the amount that is over to another person, such as the mover, via western union or moneygram. When the bank discovers the check is fake you will have to pay back the money. You might also be arrested and charge with cashing a fake check or any number of other charges. The best thing you can do is to block the email address and phone number. Do not respond to anymore emails or phone calls. Best of luck to you.