I have lived in FL,CA,MI so I have experienced all kinds of weather on my condition. Each type does a different kind of flare up.
Anyhow though it may not be the same I do sometimes get this what I call icy hot feeling where I am frozen yet burning. For me though with the weather if it is hot or cold my body seems to feel it to the extreme so I try to limit exposure in those extremes which is not always possible of course. Once I get flared or for ex cold it is hard to warm up and settle it down.
Have you thought of getting a space heater? I have one and it helps to take the chill out of my lower area. Also microfleece throws to put over myself but that are light. Baths too.