Update:
Earlier this year I paid a guy to clean out my garage and haul away all of the junk. I called him yesterday, told him my tale of woe and asked if he could help me. He said he would come out and take a look.
He came out this morning with 2 helpers and removed the old dishwasher with no problem. The "big wooden frame" that had everyone else so stymied turned out to be a small strip of wood that was glued atop of the dishwasher. It got popped out in a few seconds and the rest was easy.
He also installed the new dishwasher with no problems. It was a Christmas miracle!
I want to thank everyone for providing assistance to me. It was much appreciated.