I wouldn't use wood and tile on the same bathroom floor as you describe... I think you might run into problems with expansion/contraction of the wood, so that the seal with the tile could be compromised. (I am not a builder so I can't say for sure.) If you want an accent strip, I think black would look fine since that's a classic look that can go with most anything; your bathroom floor doesn't have to match the rest of the house by any means. If you'd like a contrast strip that isn't black, you might consider gray. Gray and white is another classic look that could also fit well with modern decor, plus I think it looks great next to wood.

I am not a designer and am just a person with an opinion. I like any of the three floor patterns, but each has a different “vibe.” The stacked one is very modern. The running bond (yes, 50/50 staggered) is classic, but in a large format tile it will seem modern, too. The horizontal/vertical layout resembles a zig-zag a bit and I think it can break up the length, but at 7 ft wide and with fixtures like a vanity and tub, I wonder if the pattern will look apparent or simply random in your bathroom. You may want to get some graph paper, draw the floor of the room with the fixtures in place, then “lay out” your “tile” on the drawing’s floor to see where the individual tiles will go and if you like the pattern it makes. Try starting the layout of the tile from both ends and see if it makes a difference. Don’t bother with spacing in grout lines, just draw each individual tile. See what the floor would look like. I agree that a simple white counter will be best. Or gray. But look for solid color or minimal veins so that you do not have to compete with patterns elsewhere.

Try searching for European Oak. The colour you are showing is more commonly seen with European Oak. You will need to search the internet for photos then find the maker of the tiles AND THEN you find the closest retailer who carries the manufacturer. They probably won't carry the EXACT tiles but if they carry the brand you can special order the product. Right now the pale wheat colour is not very popular in wood-look tiles. It might come in...but it might not. Be aware that if you find a manufacturer you are most likely looking at a special order and special orders carry special price tags. They cost more and they rarely have the option to cancel or back out of the order. A quick Bing search for European Oak wood look tiles shows this: https://www.wayfair.ca/home-improvement/pdp/supreme-tile-birch-glazed-6-x-36-porcelain-field-tile-mxem1395.html It is very close to what you want. With that price tag, that is going to be a VERY expensive installation. But it looks very close to the COLOUR you want. Remember: the colour is more important than the 'wood species' the tile is trying to mimic.

I find it interesting when people say gray is out. They never seem to show what they have in their own space that would be better. All one has to do is google new built multimillion dollar in the NYC suburbs. Hard pressed to find a kitchen that not gray and white. But...I digress. I agree with Patricia. I like gray and have it in my newly renovated Florida home. If you like gray, use it. That said, I wouldn't use gray wood look next to really hardwood. There are so many tiles to choose from. I love a large format gray herringbone.