You will need to take your ‘dove tone’ wood finish sample for your island and compare it to actual floor samples you are considering. You don’t say if you are going with prefinished floors - solid or engineered or laminate or a LVP or solid finished and stained on site.

If you are leaning toward stained on site then your trusted, vetted wood floor pro will do stains on site for you to consider. Only you can see in your real space which stain will work with the island (and whether you go slightly lighter, darker is the key to the whole design). Post your actual finishes together for best comments. The second photo in your lakehouse ideabook has a wood floor that might work and it looks to be prefinished handscraped engineered wood. It would be easy for you to take your island finish and that photo and shop it around.

A floor widely available is engineered European Oak. A different species of oak is used. It doesn't have the open grain of NA white oak. This allows a flat cut top layer. And levels from prime to rustic. Rift and quarter-sawn aren't necessary to hide open grain. Cabinets in our market haven't yet fully caught up. IKEA Vedhamn and the new line Terra French Oak from Hallmark Hardwoods are two. Spanish manufacturer DOCA is another. DuChateau, Monarch Plank and Hakwood are engineered flooring suppliers.

You may be able to get the cabinet manufacturer to match a flooring if you supply a sample and get their feedback. I'm sure they have been asked to match European Oak before.

Dan1888 is a shill for European oak. It’s fine, if you’re going for a minimalist Scandi look,

I happen to prefer the warmth of American white oak…with its more prominent grain variation.

Since this is a new build, installing and staining the white oak floor on site, makes the most sense. Site insalled/stained floors can be sanded and refinished any number of times. Engineered wood has a limit…usually 3 times the wood can be refinished.

Also, as @thinkdesignlive said, with site finished floors, the floor guy can mix stains on sample boards, until you find the exact stain you want. You can also choose the type of finish…from high gloss, to matte, and everything in between. That’s what we did for our renovation. Ask the builder who their floor guy is, and set up a meeting.

Btw, you can choose a mix of regular, rift and quatersawn boards for the floors, as ours are.

Use live sawn white oak for a modern rustic look. Mix widths: 3-5-7

Although I prefer pale non-yellow tones that were never available until water-based matte poly was developed, there are all ranges of design language using this product. Warm tones are options.

Hakwood.

Flat cut is the way to see the wood grain in wide plank engineered European Oak. No black open grain

Thank you for commenting. I am looking to go with unfinished flooring and stained on site. I would like a white oak that is a bit rustic since it is a lakehouse

Can someone recommend a good place to get character grade unfinished white oak