The idea of a latch is very intriguing, though I have no idea how to build that and would be grateful for you to share. In a separate conversation, it was suggested I use a capacitor to try to more slowly hold some voltage on the input, and I was going to play around with that to see what I could do, but that seems less certain than a full latch. I do own a soldering iron which I’ve used mostly for brute-force fixes, but I’m not scared by the thought of soldering so please do share if you’re willing. Thanks in advance.
If it were for a doorbell, I can’t imagine a doorbell press being under 20 milliseconds. That’s 2/100 of a second on a stopwatch. To press and release that fast, you’d have to be trying on purpose and it would still be very difficult!
But to comment on the latch idea, I was able to make a sort of reset with nothing more than a 2.2k ohm resistor. The 2.2k ohm resistor would go between the +5VDC and the input, and the job of the output would be to short the input to ground (the resistor there to protect the +5VDC from being shorted directly to ground as well).