If venting is in the back but there is plenty of "extra" room in the back would that still create a heat build up and make it run more? I was thinking that even with went in the back I would create venting space on the bottom for the air to go out from with flow to back and then hopefully out in the front? Over the weekend I found that Magic Chef - 3.6 Cu. Ft. seems to be pretty quite with good reviews and pretty cheap.
It is a refrigerator, but maybe that is a better option anyway?