You don't even need to pay Rent. There are a few resources out there to lead you to living rent-free:

http://www.caretaker.org/ - House sitting and property caretaking newsletter. Basically live in someones house in exchange for taking care of it.

http://www.couchsurfing.org/ - Find reliable people willing to let you sleep on their couch for free. I always look here when needing a place to stay and don't want to pay for a hotel. Search in advance if you know your travel dates and length of stay.