Funny, I was just thinking I should update this thread with how things turned out, in case it helps anyone. Well the story has a happy ending - thanks to Modern Era Design's suggestion to change the light bulb Kelvin temperature.

The lighting we had was cheap CFL bulbs in recessed cans that our builder installed. We always intended to replace them with nicer LED recessed lighting. When I took a good look at the CFL lights I realized they were putting off very yellow light. It’s the standard bulb color - but I never realized just how yellow it was. (Probably because that’s the color we’re used to.) Everything in our house (walls, blinds, furniture) looked so nice during the day in ambient light, but at night when the lights came on everything got a sickly yellow tone.

I bought a few bulbs in various whiter colors (i.e. higher K temps) to compare, and was absolutely astonished at the difference. The currently installed bulbs were 2700K - this is the standard color. We decided on 4000K, which is fairly white. We installed these 4000K lights throughout our first floor. What a difference! Everything looks so clean and neutral. We love it. And the blinds look so much better. The blinds still look like the same white color, but the whiter light keeps the trim looking white too. I still think the blinds are not the ideal color, but you can hardly tell the difference now. We also leave the blinds down but with the slats open - it’s enough privacy for us at night. So rather than looking like a giant block of opaque white the blinds are translucent, which also reduces the contrast of the two different whites. Finding a solution for the blinds had the happy side effect of giving us light that we liked much better.

Several months after getting the blinds, I borrowed a Hunter Douglas blinds sample so I could take another look at home and understand the issue better. I reexamined the colors we had been considering and the color we selected. What I noticed is that the blind sample colors looked different depending on how you held it (i.e. the angle), the location (where on that window, different windows), the time of day, etc. You really can’t hold it up to one spot at one angle at a single point in time and think that is exactly how it will look. The tiny samples are also really hard to judge. And you need a rep who has the skill and experience to guide you to the right choice.
Bondia, good luck! I’m glad my experience, though painful, provided some useful information. And hopefully the end of the story about changing the lights is helpful too.