Yeah, I was gonna suggest cayenne/hot peppers, too.
I know that eating super spicy food like Thai, Indian, etc. can make you sweat even in an air conditioned room. Depends on how conditioned you are to the spice. If you rarely eat spicy, even a little can make you sweat. Of course some people can eat those tiny hot peppers by themselves and not even raise an eyebrow.
So either a tea or hot peppers in your food, eaten while bundled up more than is necessary, that's an idea.