I have a Compact Jr, which also has very shallow cabinets.
I wanted to put in a 3-way refrigerator
(it was built with an ice box) and had difficulty finding a fridge
shallow enough for it. Compact Jrs that came with a fridge
had a frame that stuck out into the aisleway nearly 2", and then the door stuck out another 1 1/2" or so -- something I really didn't want because it would make the aisle very narrow.
I finally found I had few choices:
1. Use a fridge
from a VW Westfalia (very small, but shallow)
2. Spend more than the trailer cost for a new fridge
3. Keep looking until I found a used shallow 3-way.
I was fortunate to find a used Dometic RM2190, which is 21 3/4" high, 19 1/2" wide, and 19 3/4" deep.
After all that I decided to do something else entirely, so now the fridge is sitting in the garage looking for a new home.