Back in 2008, I think, I asked the rental company for the cheapest car they had, and they gave me a Kia Rio that was really stripped down. Hand crank windows. AM/FM radio with no CD, and yes, vinyl floor mats, no carpet. My car was in the body shop being repaired after being rear-ended by a hit-and-run driver, and I was looking for the cheapest thing I could rent because I had to eat a $1000.00 deductible, and I needed something to get to work.
I suppose you could have an upholstry shop take the carpets out of a car and replace them with vinyl.
I’m guessing you have allergy issues?