If you can shove it in there, chances are you can drag it back out. It's that lip that's a pain in the rear.
I was installing a d/w in a rental for someone. I had to jam a 2x4 under the edge of the countertop to wedge it up another quarter inch to drop the new machine into the hole. About that time the twelve year old son came home from school, took one step through the kitchen door, took one look at what I was doing and shouted "it's not going to go!" I bumped it with my knee and it dropped into place perfectly. Happiest moment of my professional life.