Suitable RC debouncing circuit?
As per the math on the PDF and the circuit, your calculations are correct for R2. R2= 160k ohms may bias approx 16 mV on Schmitt trigger inputs which is a demerit with respect to the switching point of the Schmitt trigger. But you can adjust this by using a smaller resistor and correspondingly scaling C up.
Scaling R2 down to 10k ohms effectively scales down the debouncig time by 1/16 times as well, since C remains the same. Then your requirement of 10 ms is not met anymore. It depends on what's the typical bouncing time on the switch (typically more than 1ms), and then how fast you want your MCU to register a switching event. Putting 10 ms maybe a little pessimistic and makes switching detection delayed from user perspective. But again delays less than 50 ms are barely noticeable by a user.