Overdrawing it isn't a huge problem, they only use the surge protector as long as your power is on. It does mean it will draw down in nothing flat if the power actually goes out, and it is harder for it to recharge once it does draw down. As far as the beeping goes, you can turn it off, I think by holding both buttons down for few seconds. If all else fails you could read the instructions, but you have to turn in your man badge if you get that desperate.