Selling an expensive car privately is hard. You can't finance it and the buyer population can't vet you as a reputable seller.
That said it's not hard or expensive to list it for sale on AutoTrader and give it 30 days to see what kind of activity you get. Take it to CarMax and get the floor value you could receive easily.
Trading to a dealer for your next ride is easy and the benefit is the sales tax savings your will have by paying sales tax only on the difference.
Figure the value of your car and the loan payoff to be sure you don't owe more than you can get for it.
Agree that keeping it may be the best option but obviously don't know all the numbers.