I've just converted a hi-fi cabinet into a cheese cave, by fitting a 12 volt Peltier-plate on the rear, in a cutout, with an external PC fan to blow heat off the hot side of the plate. It is switched on and off by a thermostat inside the cupboard. The cupboard has three shelves, with a rectangular section removed from the ear of each shelf to allow air circulation.
The Peltier plate is actually in a vertical duct on the cabinet's rear, open into the cabinet at the top and bottom, so the chilled air sinks through the duct and re-enters the cabinet at the lower shelf. The cabinet is in my garage. I've tested it out with a thermostat to monitor it, but at the moment our temperatures here are very cold so it hasn't switched itself on yet.
I've got three waxed Cheddars in it, and two new Stiltons in a plastic box to keep them moist.