Don't think of it as throwing money away. You will be spending $1000/month to get out of a bad situation without stains on your credit history. This is worth every penny. I would list it for at least $5000 more than your payment for the scenario you present. That still makes it over $15000 cheaper than the house down the street. I don't think I would initially offer the carpet allowance; I would save it for a negotiating tool.
The Click-it thing sounds like a good way to go. You might also post it on craigslist.
The Click-it thing sounds like a good way to go. You might also post it on craigslist.