They make herbal teas. Even a traditional place like this probably has some of those.

...If not, maybe cocoa.

[ Why would a place that's a stickler for tradition have cocoa if it doesn't have herbal teas? On the other hand, she's not concerned about being unable to find one or the other; if there are foreigner baths, there will surely be other accommodations. ]

I know someone who'll just drink hot water with a lemon slice in it. He swears by it, but I'm not ready to go that far yet.