Do you have undercabinet lights and can you take a photo with them on?

You might drive yourself crazy trying to find the right white. How do you feel about an off white that leans green? Green goes well with the oak. If you want to try this, look at BM Sea Wind OC-139, Moonlight White 2143-60, Cloud NIne 2144-60, or the next darker colors on those cards. Also look at BM Edgecomb Gray or SW Accessible Beige. These are darker colors that are neither gray nor beige which also work well with oak. You will have to do some sampling to discover the right color. I will also offer an unsolicited comment which is that you should invest in some new pulls. Your new counters deserve them. :-)

Ha. Thank you. I’m thinking of oil rubbed bronze pulls. Is that in line with your thinking?

First photo shows existing Linen White. 2nd photo is the wainscot. An old Pratt and Lambert color called Moth Gray. I still like it. 3rd shows under a obey lights on.

Great choice in backsplash and counter. No need to paint the cabinets someday.