I really doubt that a dealer would want the car. When you trade a car, there are actually two transactions: 1) you are buying a car from the dealer; 2) the dealer is buying a car from you. The dealer doesn’t want your car. He will jack up the price of the car you want to buy to give you a trade-in and it might be more than if you bought his car straight out.
You might advertise it on Craig’s list. Some Audi enthusiast may want it for the parts. As you already know, it isn’t worth spending $7000 to obtain a car worth $5000.