I don't have my photos handy, but Sherwin Williams has a variety of basic whites, and you want to be careful about Snowbound. It's a famous, popular color but can sometimes look a little less white than you might think. Do you still have the link to your photos? If you read the captions, sometimes people will specify the colors in the captions here at Houzz. You could also try contacting the designers. Be aware that the color of the stain will vary a lot based on the type of wood that it is laid over plus the type of topcoat used. The sample looks like oak, but sometimes red oak and white oak can be nearly indistinguishable. White oak is prone to tannin pull, so the finishing techniques have to be modified to prevent this. If you have red oak already, you might want to get a stain with a slight green tint to play down the red if you're not in favor of a reddish tint. Bona Naturale waterborne finishes are a great option for keeping yellowing away and preserving more of a true-to-color look.

The floors look to be an oak (probably red oak) stained to look like Black Walnut. I would hazard a guess the 'cut' or grade of the floor is a lower grade. That accounts for the plank-plank variations and the heavy grain pattern. I think it's lovely but then again I love a LOT of movement. Most people cannot handle the variation of lower grade floors. They want the top grade but purchase a lower grade thinking they are saving money ... just a little FYI there.

The Jacobean mixed with one of the deep browns (no reds) is probably what is on the floors in the photos. Jacobean has a green base to it. Greens counter act reds/oranges which is why Jacobean is often mixed in when covering up red oak flooring. The green tinge takes away the red salmon colours of red oak.

And the floors were water popped (an extra step that has an extra expense) before the stain was put down. I would say there is a water based finish over top (no ambering = no oil based poly) in a Satin finish...possibly semi-gloss (personal preference = you need to choose the sheen yourself).

Remember: never EVER choose a stain without a coat of FINISH put down over top of the samples. The sample colours in your pic are raw wood with stain. There is NO finish on them. That is an absolute no-no.

What color other than jacobean which is dark?

Trying to match colors from a monitor is always a bad idea. Those colors can look very different on different monitors . Best to just wait until things get a bit back to normal where you can go buty some paint , and poster board and test drive colrs in your house with your lighting and furniture. I agree the floor sample will look fifferent too after a finish is applied.