Over the years I have given up my 'pilot' faskination with watches. RAN FAA had a good reliable easy to read large watch face & that was all that was needed then in cockpit - not even a stopwatch. Anyway today the range of watches - 'mazin'.
fēnix® 3 HR (more expensive at $550 but more likely given modes)
https://buy.garmin.com/en-US/US/p/545480 OR https://buy.garmin.com/en-US/US/p/160512
"...The built-in altimeter provides elevation data to accurately monitor ascent and descent..."