For a wireless/connected solution, I'd be inclined to think a Raspberry Pi rig would come in cheaper. Arduinos get rather expensive once you add comm shields.
Can't wait for the outcome of this, though. I started down this path a while back and got as far as figuring out how to use a Maverick probe instead of the little thermistor. Then I discovered Auber and wussed out.
Mike -- 22.5 OTG -- 18.5" WSM -- Mini WSM