Use an hydraulic jack (every car should have one in the trunk) to lift the rear axle of the truck as high as you can, then push it, now you can proceed to get out of the parking spot
I'm not saying they come with the car, I'm saying that every car should have one. If you have a car and you don't own an hydraulic jack (or a device to lift your car to change a tire) then go and buy one.
TBF, it's still going to cost less than the car did. I don't know, maybe it's cheaper to write the day off and get a someone else to do it for a fee in your specific situation, though.
2 floor jacks with wheels and you can put that truck wherever you want. Even better spend about $150 at Harbor Freight for 2 sets of wheel dollies and you can roll it right out to the street. That's extra fun if it's an above ground garage with a curved ramp.