OK - granted that looking at a monitor to verify status is not the answer - given that you would have to select one of (potentially) a hundred cameras and not all will be working at the right time, or might have some other gear parked in front of them.
So what to do?
A new system would be bad, whether it is a visual camera check or another computer screen.
Is there a computer system that is ALREADY in the loop, where 'Push Request' can be entered with a single keystroke [Function Key] so that 'Request Expired' can clock up 180 seconds later?