I don't know if this will help at all, but this is what my mom did. And, I think it looks great. We drug her wood sample everywhere (really, everywhere) to find a match for tile to the colors of the wood. She wants everything to flow, which it does. Looking in from other rooms, you can't tell that there is even a difference from the wood to the tile. It looks like all the same color. If I were to find tile for my kitchen, I would do the same thing. It looks seamless. I'm eventually going to have to do it anyway. Some ding dong put wood in the bathroom and did a really crappy job at it (like not pulling up the toilet... let's just cut a circle out for it). I thought that I might go with a marble or something, but I think that it's too much of a contrast too. See if you can find a similar colored tile, I think you'd be happier. Good luck!

Check Fabric Guru for outdoor fabric. This hits your colors but not your theme. Sort of a garden theme rather than shore, IYKWIM. Would be easy to keep clean, though.http://www.fabricguru.com/p-floral-vine-outdoor/solarium-printed-poly-fabric-mineral

I have a gray marble herringbone tile floor in my bathroom. I tried nearly all of the colors that BethH recommended. None looked right. Yes, my bathroom was painted, and repainted nearly 5 times before my wonderful painter mixed his own concoction that was exactly the right color for the floor and the lighting in the room. It is an ART! And I love my bathroom wall color. Be flexible. Repaint. Again and again and again.

This is a great diagram for comparing the similarities & differences between white colours. The data is derived from ‘measuring’ each colour objectively. It tells you to which Hue Family each colour belongs & where within that Hue Family it sits. It tells you just how light it appears, (Value) and just how much light it reflects back. (LRV) Chroma tells how near to neutral or colourful each white is. The HIGHER the Chroma = the MORE colourful white it is. (See Shoji White & Greek Villa) The LOWER the Chroma = the NEARER to NEUTRAL it is. (See OC-151 &Chantilly Lace) What a lot of people describe as an ‘undertone’ is actually their perception of a colour’s Hue Parent. So if White Dove feels too yellow to you, then start by considering those with a lower Chroma. Considering colour data this way is a fast & efficient method of filtering through a lot of colours before choosing a shortlist to sample in your space.