If you are always with electricity while camping, except during travel, then the residential refrigerator offers significant advantages. Eight to ten hours of traveling will be no problem. Remember, your trailer batteries should be receiving a charge from your truck. Almost all trailers do not have an inverter, so the simplest thing would be to run separate cable from the batteries to a convenient spot to mount the inverter- hopefully close enough to the refrigerator to just plug it directly into the inverter.
You have to decide if you want a modified sine wave or pure sine wave inverter. Some refrigerators don't perform well or at all with the modified sine wave. The pure sine wave produces 120 volt electricity just like we get at home, so any appliance, including electronics, should work with it.