Here is the solution:
I unplugged the DVI cable, and used a HDMI cable (with mini HDMI connector) instead. Super simple solution. When I launched the game, i needed to change the graphics preferences because it ran off the screen, but once I set it to what I wanted, it works EXACTLY like it should! I can't believe after all the trouble I went through that was the solution.
I really hope that this helps someone else as much as it helped me! For those of you that it doesn't help, I'm so sorry--this is not a fun problem to have.
You Sir are a STAR. That worked (HDMI) why did I never think to try it? I just wanted to say thank you very much, and to second that everyone who can should try this.