You could do that with a Fossil Abacus PalmOS watch with a little app - same the battery life on them is terrible, but they're great for novelty value. You can still find them around for 30-40 quid.
Or maybe the Garmin Forerunner might be an interesting compromise? And it's got GPS (which might be handy for recording your track although no idea if it works at X,000 ft and +40kts seeing as you're unlikely to be running that fast).
or some kind of bastardisation along the shame theme?