Hello Ed,
I do a lot of camping in the desert here in Namibia, and Fridge and Freezer efficiency is always important, as we run for days from 2x100watt solar panels – Fridge, Freezer, HF Radio, Sat – tracking equipment, etc.
After going through a bevy of camping fridges and freezers from many of the 'off-road' vendors, I decide to make my own…
I discovered three key elements –
You have to get rid of all the heat generated in the condensor. The evaporator must be very well insulated. Use a 12volt compressor, and the BEST I found is the Danfoss BD35. Runs from 12V and has a brushless motor with its integral DC to 3 phase converter.
Most small fridges use a capillary tube as the gas Expansion device – If you use a thermostatic Expansion valve (TXV), you can gain another 8 to 10% efficiency.
So I slowly converted a commercial camping fridge to the BD35, then substituted the TXV for the Cap-tube, and obtained large improvements. Then, of course, I built my own fridge – made my own evaporator from aluminium and wrapped with flattened copper tube, and insulated the whole thing with 100mm refrigeration foam all round. Made my own condensor, many fins with copper tubing passing through, and force cooled with a muffin fan.
The end result, for a 60liter fridge, running at 3deg Centigrade, on days that go into the low 40degC, is that in a 24hour period, the energy used is around 1.2ampere/hours, ie, 1.2amps per hour averaged over 24 hours. MUCH less than the typical 4 to 7 amps for a 12 volt heater element type system, which will NEVER hold 3deg C @ 40degC ambient…
This is the compressor – about 190mmx140mmx160mm – this was a part development of my 15liter freezer – still with capillary tube.

The freezer evaporator:

Another Freezer with shop-made condensor and cooling fan ( on the left)

View with an idea of the insulation before the covers are fitted.

The condensor and compressor piped up.

Does not really help your quest, but I can only hope to dissuade you from going the 12V heater route – It is hopelessly inefficient.
Good Luck..
Joe