Those look like beautiful cabinets. Are they more worn than they appear? No need to jump on the white bandwagon if you don't have to. At the moment the thing that looks out of place to me is the island. I would paint the island black and then maybe replace the perimeter black counters with a white that coordinates with the island. I'm not 100% on changing the counters because the side of your frig is black. The island doesn't have to be black-black. Maybe SW Iron Ore? Look at a couple dark colors along those lines.

Accessible Beige will probably look OK on the walls even with the original wood cabinets, but only you will know that for sure since colors look different IRL than on a computer screen. Especially since you have AB elsewhere that seems like a good choice. If you really must paint the cabinets I vote for Iron Ore on the island. I have to agree with the designer who said navy isn't a good choice if you don't change the perimeter counters.