I think it may be difficult to find somewhere for 2 nights, at the moment. Most appt owners tend to look ahead to at least one weeks rental and an an early booking could mean they lose custom should someone want a longer stay, at short notice, about that time.
That said, if you shop around you may find something that has a 2 night window between guests moving out and new moving in. In my opinion the later you leave it the better your chances.
Take a look at the accomodation links on the Forum.
Cheers
Negg