We just had a SW consultation yesterday. Looking for a warm neutral without a lot of yellow undertones as we have travertine floors. She did not feel that there was a lot of yellow in the Kilim Beige. The Accessible is definitely more gray. We're also looking at Natural Linen (and have decided that Shoji White is too white).

For a small investment of time and $, buy some foam boards (Staples, Walmart, etc.), a small roller set (about $10-15 at Lowes), and samples of the colors you're interested in (about $4 apiece at Lowes for Sherwin Williams samples). Paint the foam boards with 2 coats, then place them around the spaces at different times/lighting scenes (leave a boarder unpainted so you have white between the trial colors and anything you put them against).

You would be surprised how colors change depending on exposure and lighting (N,S,E,W plus artificial lighting). We just did this for our new build - 8 paint samples, a 10-roll small roller kit, and 8 foam boards. Colors we thought were perfect on chips fell flat in real life and we could tell pretty quickly which direction we needed to go in (cooler in several rooms, warmer in another).

Don't dispose of the boards when you're done, You can always reuse the "rejects" in future painting projects. The good ones can rattle around in the back of the car (cut down if needed) so you can bring them when shopping for furniture, towels, accents, etc.

SW Relaxed Khaki would look awesome with that granite and white trim

Ok, I painted some samples of Kilim Beige and Natural Linen. Our background wall color is a neutral with a lot of yellow undertones. I don't know the name of the color because we didn't pick it.

You need a BIG sample area to really tell....Kilim Beige definitely has yellow undertones in my bathroom which is not what I wanted.

I was going to suggest accessible beige too! Or doing a very soft/warm white like SW natural choice or creamy (although if shoji was too white you may not like it!)

We did paint other bigger swatches in different areas but this is the picture that looks the most realistic. Accessible Beige is nice, a little more grey.