http://www.truckfridge.com/tf51.html
http://www.westyventures.com/parts.html#cart_restore
The link above uses a Danfoss Secop bd35f compressor which is much quieter than a Sawafuji Compressor used in Engel and some other brands.
Dometic sells many 12v models and now use a Waeco compressor, which appears to be a clone of the Danfoss.
Not sure how it stacks up noise wise.
The actual electrical draw when compressor is running, among all brands available is nearly the same. It is the insulation quality and that quality of the door/lid seals that likely makes the biggest differences in battery consumption as these affect how often the compressor runs.
The cooling unit vents need to remain unobstructed wherever the chest fridge gets located. Some have stuffed them into a partition with no ventilation and observe poor performance and lots of battery consumption, and exercise their harrumphing skills and start product bashing, when the fault lies in the installation.
Upright models are available too it that fits with ones interior ergonomics better.
A 12vDC compressor fridge, with enough solar for it and some more , in my opinion, makes van dwelling so much better.
Yes a cooler with block ice works, and continuously worrying about how much ice is left, where to get it, and how to drain water from cooler, gets Old quick. i did it for years, and would never consider going back, unless starting from scratch and saving. But the price of block ice every 4 to 5 days, paid for my fridge in about a year, not including the gas required to go get more ice, nor the inconvenience of having to do so, and worry about food spoiling.
I have nightmares about a cooler filled with ice and stinky water, and wake up relieved to find my fridge interior at 33.5f.