You just described my experience exactly. Busting the old screen was awful but it worked. Without better tools, I can't imagine getting that screen off there!
I had some trouble getting mine started here. If your logic board seems stuck, try pushing the removal tool on both sides near the bottom (vs the top like the photos show) with your index fingers, holding the case with your ring and pinky fingers so that your hands are completely free of the back of the computer (the side with the ports). This worked for me. Otherwise, this guide made the process smooth!