Unless at a dealer or somewhere someone will keep an eye on it, I wouldn't. Somebody may do something to it just because, and something may happen to it. I still say put a for sale sign on it, and drive it around (free, local, targeted advertising).
Not too far from me there is an old guy who owns a lot with frontage on a major road. He charges $35/week to let you park your vehicle there. It gets pretty good visibility especially during peak commute hours. Maybe you can find something similar in your area?