What kind of hitch is on it? 5th wheel, gooseneck, or standard bumper pull? If bumper pull, any of your friends with a truck/SUV can easily pull it out with minimal equipment. They would have to see what size ball it takes, but it is likely 2" or 2 5/16". Go by your local Home Depot, and they usually have a half ton available for rent. I'm not sure if they have the receiver for the ball mount though. If you go that route, don't tell them what you'll do with the truck. A half ton won't be optimal, but at least it will get it out of your yard and make it the city's business.

Really surprised that the cops didn't at least tell you who the registered owner was once they ran the plate.

I don't know Manch, but can the city point you in the right direction maybe?