I have, in my perusing and studying read that Heat and Humidity DO make a difference in Varroa mite reproductive cycles and numbers. However, the difference was not enough to mean the survival, or extinction of a hive..
The bees will STRUGGLE with everything htey have to keep a hive at a specific temperature, it keeps their brood alive, dehydrates their nectar into honey, etc... If you try to change the environment within, they will work however hard they have to to KEEP you from changing it.. so.. NO, it is my personal opinion that it is not a good idea.