I think anything with a "peel & Stick" glue is going to be problematic with the temperature swings. I would look at a product with either a permanent-type glue or a floating floor w/o glue.
We've used
Forbo Marmoleum (gluedown sheet) in both our previous & current trailer. Been down about 10 years ago and it's holding up great!
Because we were doing a full restoration, we installed it under all the furniture on our current trailer.
On our previous one, we installed it around the cabinets.
Shari