Well, I finally got the two op-amp stages loaded up on the bread board, started shooting video and tested out the annoying 555 on its own. As I expected with a bipolar based op-amp, I can't hit the ground rail. I'm pretty sure the 555 won't be able to hold reset with the 1 point whatever volts I'm getting at the output. So either I split the 5V supply with a split-rail ground or I try to find better op-amps. Since I'm trying to push this video out to YouTube this week, I'm going to go for the cheap and easy approach - using a voltage divider as a ground reference.

But guess what?! The 555 buzzer is SUPER annoying. Awesome!