We have a complex that specializes in Short term rentals...carousel properties on Oakridge. Let Kevin know I sent you. A 2 bedroom runs around $1800 a month (the last time I checked). Check out their site at http://www.carouselproperties.com/. Good luck!
There are a few, but not many. I think you would pay more for that, and it may be better to look into a more traditional, upper scale rental as you will have much better choices with regard to location and amenities.
You could always rent furnishings. The rental market is at 350-500 per bedroom depending on quality.
Let me know if I can help.