There are two basic options.. One may be hard to find.
Many have converted to residential fridges. 120 volt (Fed via an inverter) these often suck 100-300 watts running and abou a 50% duty cycle (That's a target for all fridges)
The other, and both Dometic and Norcold made these at one time. are what I call "Danfoss Class" (Danfoss is one of the companies that makes the compressors they use. I do not know what make Dometic and/or Norcold use).. These are very high effiency compressor fridges,, meat all your requirements (off level and such) and draw (Door closed seems strange to have to say door closed) Less than 50 watts.. How does this compare? A pair of 1136 lamps is 50 to 60 watts.