Build a thermostat draft fan controller for a wood stove.

I have a Flame Boss temperature controller for my smoker. If you are not familiar, the controller reads temperatures in the smoker and then controls a variable speed fan attached to the firebox to regulate oxygen flow to the fire which then controls heat inside the smoker. I would like to have a similar device developed to operate a small wood stove I have in a small off-grid cabin. The device would read the temperature inside the cabin and then regulate a fan attached to the stove to control temperature inside the cabin (i.e. as the cabin temperature drops, the fan speeds up and as the cabin temperature rises the fan speed slows or stops). I’m envisioning a programmed arduino controller that accepts as an input a simple battery/wall thermostat that would provide a set temperature and a constant temperature reading and then as an output it would power and regulate the same fan that attaches to the Flame Boss. I would simply use the Flame Boss controller but the setting to control the smoker does not drop below 100 degrees (which is too high to regulate the temperature). After a quick search, there seems to be some open source software on the internet that has algorithms around fan speed at different temperatures but I do not know how to program. With very clear instructions, I could buy the materials and assemble the device. I have successfully assembled Raspberry Pi devices in the past.