I still haven't had any success with the actual Uno circuit, but I've made some progress. This variation seems to work how it's supposed to, at least for the DTS portion:
I still need to add the reset button to this and figure out how to make it function the same way though.
[edit]
Well, this seems to work...
It doesn't drop and bounce back on its own while the button is held, but it does go back to 5v after you release it which ought to have the same effect. I'd rather it snap back to 5v while held down though. Would feel more responsive.