Edgecomb Gray is the best of those choices. But it doesn't look like there's much contrast between the shades and the paint color, and it could all just end up looking like one big wall of blah greige. If you're 100% sold on a gray, I'd go a lot lighter. A light blue or green would look nice against the shades, but if you have your heart set on a gray, that obviously doesn't fit the bill.
I’m game for a light blue, the blue undertones are why I chose Stonington Gray.
We have BM Whisper in the common rooms inside and on the exterior of our home. So far it looks good with every color that we have put with it.
Depending on the light, it looks grayish or even white-ish, (on our exterior), but when it is next to white, it is obvious that it isn't white...maybe kind of what I think of as stone. It isn't greige and doesn't lean that way at all, but it looks nice with every color we've got, which includes some browns and off white as well as different wood tones and strong colors.
Our house is SW mindful gray and it’s a very light greige. Grayer than revere pewter but still a greige. I think it would work with your shades but still read light gray on the walls.