Is it possible to salvage the original fir floor?

Have you looked at (real) linoleum, like Forbo's "Marmoleum? It can be done with patterns--a simple stripe following the walls might be nice.

Or, most sensible probably, do the hex or similar in a grey and black. Or maybe throw in some vintage colors from the Kohler shades of potties timeline (lavender!):

Here is a link that might be useful: http://www.us.kohler.com/us/Color-Timeline/content/T1-color-timeline.htm

What about encaustic (or encaustic-look) tiles?

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You can also do those patterns you covet in a different color.

Fori-Would you believe our house is actually painted Lavender! I didn't realize Kohler stocked Lavender. We thought about salvaging the Fir but the other 2 rooms that we had professionally refinished were a challenge..in the end my husband is still not a fan because of the wood putty in the gaps..I love the character though. I forgot about Marmoleum..Is it ok for high moisture areas?

Marcolo-That is why I love this forum...sometimes I get stuck in the same old thought process! I will do some searching for Encaustic tile ideas. I am also seeking other colors in the octagons and hex..We just visited the Kendrick Mansion in my town and I have loved their 2" hex tiled bathrooms. Sigh!

Marmoleum is okay with moisture. Floods, not as well, but if your bathroom is small enough to not have a seam and you don't leave puddles on it for days it should be fine.

I suspect a fir floor that has been through all those layers might not be useful.

Lavender tile though...mmmmmm! :)

We installed Marmoleum in our 1906 era bathroom and love it. It doesn't get cold like tile. We do not have heated floors and we love it. We did a border and feel like it fits right in.

I have the same dilemma. I do not want a white floor for the main bathroom that will serve 5 of us (3 being kids). I have been mulling the idea of doing a 2 inch hex floor in travertine. Will that blend with a vintage style? Still not sure, but I thought I would put it out there for you to consider as well.
Marcolo, those tiles are beautiful, but look expensive. Are they? I will check out your link.

I have a couple samples of 12x12 faux cararra marble, and I think they look pretty good in my vintage house. My husband vetoed marble basketweave, and basically anything that looks busy. So the larger scale marble look is growing on me. It's white, but not uniformly white so I don't think the cleanup issue would be so significant.

I love Marmoleum - had it in a previous bath - but I'm hankering for heated floors, so tile is what I'm doing this time.

kmcg - FWIW, my friend has 12 inch faux cararra and she says its a nightmare to keep clean. They may not be uniformly white, but they are mostly white.

I have been looking on Houzz for some Marmoleum ideas..While I was looking I came across this beautiful floor. I love it! Maybe I can recreate it with Marm..I doubt the existing Fir will work out plus I agree the Marm. might feel warmer in the winter.

Here is a link that might be useful: Floor Idea

Not sure what era this would mimic, but what about a basket weave in a beige color with dark accents?

Here is the Marmoleum floor in our vintage bathroom. If I had it all to do over again, I may have chosen a black border but the red works too.

Would you be interested in wood? It can be done in the bathroom if you do it right.

Have you considered cork?

[Eclectic Bathroom design[(https://www.houzz.com/photos/eclectic-bathroom-ideas-phbr1-bp~t_712~s_2104) by New York Architect The Brooklyn Home Company

Thanks again to everyone for your help. I am leaning towards wood in the checkerboard pattern and considered cork in the same pattern but thought the cork might be risky knowing our how splash happy things can get. I have also ordered a sample of darker grey marble 2" hex just to see if something darker would be ok.