There weren't any beeps with the RAM completely removed, just the blinking wireless light.
I also meant to post another update-- I installed the new screen some hours ago (at the time of this post), and the screen does work. The only thing that isn't working now is the the switch cover-- while the power button works, the other buttons don't light up. At this point in time, the computer is just about fully-functional, but are there any suggestions on how to get the switch cover working again?