We have recently installed a wood burning stove. It is big enough to warm our whole house, but getting the warm air into the far bedrooms requires us to turn on the fan for the heating/cooling system. If I turn the fan on for about 5 minutes every hour, it is perfect. Obviously, I don’t want to run the heat while doing this, just the fan. I would like a thermostat where I can schedule the fan only to come on at certain times. I have looked at the eco bee and the nest, but those just allow scheduling of heat and air to maintain a temperature. Does anyone know of one that allows fan only scheduling? If it is Apple HomeKit compatible, that’s even better.