That size fridge, I would just replace it with a DC compressor version. Can run all the time on batteries with no inverter needed. A fridge that size only would use about 3-4 amps of DC power, and then only 30-50% of the time. They are far more efficient, cool faster, and keep a more uniform temp inside. A 3.7 absorption unit, a DC compressor version would give one about 5 CF of actual storage inside the same exterior dimensions.
A simple solar unit when boondocking would keep batts charged up even with a DC compressor fridge running. Even the fridge running overnight will not seriously degrade batts. Of course, the smart thing is to use a couple of 6v deep cycle batts in series, say, 235 amp capacity each.
Dometic, Norcold, Nova Kool, etc all make some very good DC compressor fridge units from 1.7 cf all the way to 10 cf. DC is all I ever use nowadays. Looking at some new TT's and one of the first things I would do if I get one is to yank out the stupid WW I absorption fridge and replace it with a DC compressor version.