I'm not sure of your reasoning for wanting to get rid of the fridge, but you might want to check this out. One of the users on ecomodder converted a mini-freezer to a fridge. Its power consumption is very low, and he didn't even use a nice freezer, just a cheapo inefficient one he got on craigslist for $25. IIRC it uses ~350 wh/day versus a new 'efficient' full size refrigerator's 1kwh/day. If you got an efficient mini-freezer it would be lower.
AC_Hacker's Hasty Freezer Conversion - EcoRenovator