If it drives, and isn't unsafe or needing work to meet road requirements (broken lights, etc), then put it out there for $500. Somebody might need something just to get a few miles back and forth every day. Something to get them through the next few months. They can eventually recover a small portion of that through scrap ($200 or so probably) when it stops running, without ever putting another dime into it. People around here use stuff like that a lot. They call them "mill cars" or something, b/c they would only use them to drive back and forth to work at the paper mill, and it makes the interior smell, so people don't like driving nice vehicles.
You can do Craigslist, or look on Facebook for local car/resale groups. They are out there. Even in my small town there are about 3 local ones.
Good luck. Because, yeah, you will do better selling outright than giving it as a trade. And yes GIVING it.
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Also, keep in mind that there are backyard mechanics out there always looking for something like this. A decent car that needs some repair work that they are capable of doing on their own (for a lot less than you or I would have to spend to PAY someone else to do it). I sold my last vehicle (2005 Xterra with 310,000 miles on it, needing a $1500 clutch job and having a low oil pressure light coming on a low idle speed) to a friend from church. We weren't putting any more $ into it with that many miles (let's face it, it could need a new engine any given week), even though the rest of the vehicle was in GREAT shape. It wasn't smart for us, b/c we aren't mechanics. The guy I know is. HE was willing to do the clutch job himself (for a third of what it would have cost me) and also could deal with anything else that came up for the price of the parts (where I'd have to pay a shop to do whatever). He owned his own flat trailer, so picked it up from the auto shop it was at, took it home and did the work. Now his young adult son drives it. We both won.
So don't be afraid to put it out there. Just be honest about what needs to be done to it.
If you don't have time to deal with it, let it sit out there for a week (even post it on your own FB page, you never know who you know that knows someone who might be interested). If nothing happens, trade it for whatever they will give you. It's easier than dealing with the scrap yard, and it will reduce the cost of your new vehicle and therefore your taxes on the sale, I believe.