Probably far too late to help the OP, but maybe useful for someone later reading this thread...
I have a peltier cooled wine fridge, which works fine. It's been running for years now, and rarely has an issue (sometimes it fails to cool unless you recycle the power, but I walk past it regularly, so I notice it before it's too late). Electronic controls allow me to adjust temps between 11*C and 18*C, but it doesn't get lower than that, which may be an issue. I haven't made loads of cheese, mainly farm cheddars and the like, so 11*C has been fine.
One issue with peltier cooled fridges is that they have a cooling limit of around 10*C from ambient, so mine sits in the house and is able to keep 11*C when the house is around 21*C. Hot summer days mean that the temps in the fridge are slightly warmer, and there's no way that it can sit in the shed.
On the plus side, there's no need to buy an external controller, and I've found that the humidity in the fridge generally sits around 70-75%. I started with bowls of salt water in the bottom of the fridge but eventually these dried up and the fridge still keeps high humidity. Not sure how. I've calibrated the hygrometer, too, so I'm pretty confident that it's accurate.
Anyway, just my 2c.