Sdog, carpet is a bad idea on boats precisely because even the best "fiber" will hold moisture and breed molds. The laminate floorings that are designed to float (like Pergo) are also a bad idea, but there are some designed for industrial/commercial use (like gymnasium flooring) where the entire panel is sealed. The center layer may be metal or FRP, clad with more synthetic and then just skinned with wood on one or both sides, and even the wood layer is pre-sealed with urethane or epoxy
at the factory. That stuff looks like wood flooring--but is just about invulnerable. If you can get a split pallet at a flooring liquidator, that might work. Otherwise, you are into marine plywood
floorings (i.e. the teak-and-holly type sheet) or some of the "rubber" marine
floorings that are printed with a pattern similar to the wood ones. I don't remember the name, but I think someone had posted it in another thread here. You can think of them as marine grade (and priced<G>) linoleum.
Which might be your best temporary option: Get a remnant of good quality padded vinyl flooring, lay that down now, and then take you time finding something that keeps the other half happy. I'd probably just attach it at the perimeter with double-sided carpet tape, which will hold it down but make it easy to rip up when you choose to. Slippery when wet, but in an aft cabin
maybe that's not a problem for you.