As you just pointed out, you cannot buy those buzzers that would be needed (unless you were having them made specially for mass production), so the KSN1001A makes sense here. That is even if they do occassionally burn out. Hopefully the useful life will be long enough that it doesn't get very expensive, but it seems to be a simple means to an end.
As far as your 11.32V equation, I would be using a HiFiBerry Amp2 which specs
https://www.hifiberry.com/docs/data-sheets/datasheet-amp2/ for an 18 volt power supply at 8 ohms shows typical power output per channel of 17 watts, and maximum power output per channel of 20 watts. The highest volts power supply the Amp2 can take is 24 volts. But if I used its standard 18 volt power supply, that would be HALF of your suggested 36 volts. Wouldn't that only mean a neglibible loss of 3 decibels?
Also, though I may not need a capacitor for this I am concerned about possible accidents as well as pops when turning the unit on. Would it hurt anything to use a crossover to protect from accidents and on/off pops? I know sometimes folks ask about capacitors on tweeters instead of a crossover, but a crossover has a capacitor in it. I have a 5kHz 8 ohm 12dB/octave high pass filter here
https://www.parts-express.com/5-khz-high-pass-8-ohm-crossover--266-474 I'm thinking of using for this purpose. Wouldn't that steep 12dB/octave slope give me the sought protection?
Another concern is the KSN1001A datasheet warning [pg 2]
https://www.gad.net/Blog/wp-content/uploads/3017/04/KSN-1001A-1005A-Datasheet.pdf saying that
"Warning: A 30 ohm series resistor is
recommended to assure stability of
extended range amplfiers and preclude
hazard of burnout."
What 30 ohm resister should I put in series with this tweeter? If I do really need one, how many watts? I'm not sure how this would impact the rest of the circuit.
Finally, is "warbling" needed if I'm only using a single MONO channel for this application? ie; no concerns about 'phasing'. Is a good example of "warbling" alternating between 17 kHz and 18 Khz a few times per second?