Consider yourself lucky. My wife seems to believe that when the house hits 73, it'll get cooler much quicker if she sets the AC for 62 degrees. And, it can drop into the 50's overnight outside. So yeah, the AC succeeds.
How about just getting one of those covers for the thermostat? E.g.,
https://www.amazon.com/Honeywell-CG...469750675&sr=8-1&keywords=lockable+thermostat Because while I'm not 100% sure - I've never had a thermostat that you could set a password on - I'm going to go out on a limb and declare that there's a way to reset the password, and if your kids are over 10 years old, they'll Google that and figure it out in no time - then you're out $60 or so for the thermostat. (Note to where I work: yes, yes I did Google how to reprogram the occupancy sensor to change it to 30 minutes instead of 120 seconds.) Regardless, any method is far from foolproof. I doubt your kids would go to extremes to "win" - wet paper towels in the winter time to get the heat to turn on. A desk lamp place near and aimed at it to get the AC to turn on.

(We have thermostats in our rooms, but it's still managed centrally to not exceed certain temperatures; I hate it too warm, but a few faculty do this regularly.)
Or, a cheaper solution: threaten the kids. Tell them you'll finger print the keypad or hide a wireless cam to catch the one who did it and if they do it again, they'll be grounded/punishment of your choice.