When it comes to thirst, the first question should be: How often and when should the player drink?
Taking drinks throughout the day? or would once per meal be enough? If the latter then somehow enhancing the meal (assuming the meal it's self is non hydrating) could be good enough.
A radical idea might be to make it so Satiety doesn't instantly go up from eating a slice of pie. (You ever go out to eat, finish your meal, still feel hungry enough for dessert, but by the time its in front of you, you don't feel hungry anymore?) Like healing with a poultice you have to actually digest the food over time. Wet foods like soup and stew digest faster, while drier foods like charred pies, could take a bit more time, but that could be sped up with a refreshing beverage.