Sam, suggest you consider the Vitrifrigo DP2600.
I had the same Dometic New Dimensions as yours go bad a couple of years ago, and couldn't be happier with this unit. All exterior dimensions except height are the same as the Dometic (it's about 6 inches shorter which allowed me to provide air circulation to the compressor under the fridge) This is a 12 dc compressor unit so no inverter needed. I measured about 700 watt-hours per 24 hours so 250 - 300 watts of solar panels should pretty well keep it going. When the compressor is running it only draws about 4 amps at 12 volts.
Because it doesn't have all that cooling unit stuff on the back that absorption units do, the interior is a couple inches deeper, making much more usable space (especially the freezer) and the top shelf of the refrigerator section doesn't have those aluminum fins taking up a bunch of space.
Door latches are marine/rv type so no modifications to keep doors shut while travelling, and the unit is screwed in around the mounting flange just like the Dometic.
It's unfortunate they don't make a size that matches the side-by-side and 4-door rv models as well, but at least us 2-door people have an excellent option.