Just another idea that in some situations cold be helpful is using a log or some sort of bar as a lever. You could drill a partial hole to put the end of the log in then use the log to try and lift or push the vehicle.
I did that to get my Rav4 unstuck a couple summers ago when exploring a quad trail. I came up with the idea after trying to first cut down a tree with my fillet knife lol.
Jack to lift the side of car, tie down straps to put some sideways pressure on it then a log as a lever under the hitch of the car and I was able to slide the back end of the car around by myself!