It's the same here in Texas. It seems the warmer it is outside, the colder they turn on the air-conditioning inside.
I always carry a light coat with me in case I have to stay inside for some time (which is most of the time). People look at me like I'm crazy ("what are you doing with a coat in the middle of the Summer?"), but I don't care.
I think a good idea is to have one of those lightweight rain jackets. That way you can be protected against the rain also.
malu
