We have white oak kitchen cabinets with a very light stain. Our house was originally built with white oak floors, which we thought were red oak. We had to replace quite a few boards and we used red oak so now we have a red and white oak floor (definitely by accident). I'm with you on the white oak being nicer. Despite the efforts of our floor refinisher, the red oak still has a pinkish cast to it. In order to make the white and red oaks really blend, we would have had to go with darker stain on the floor, which we didn't want. Have you checked local cabinet makers for prices for white oak cabinets. We found that some could only get red oak and others could only get white oak. The guy who could only get white oak wasn't any more expensive than the guy who could only get red oak.

Choosing American White Oak vs European White Oak is a matter of personal preference. American White Oak has tighter knots but fewer tannins. Also, the available grades can vary, so that will affect what you want. Suggest you go to a local showroom and compare them. If your project is in the United States, consider that purchasing products that are made in North America rather than Europe will reduce the carbon footprint of your project. And, if you purchase American, you're supporting the U.S. labor force.

@Joe Macker. I added protective film to my windows to block UV rays from causing damage. The advantage is that this protects everything in my room. I had damage to my furniture - both cloth and wood from the light streaming in. I have an Eastern exposure. You can't tell that there is any kind of protective film on the windows as mine are not tinted - or tinted so slightly that there is almost no difference but they are rated for close to 99% blocking of the UV rays.

Pictures may not accurately represent colors or finish. Your best option is to have a sample made that you can step on.