If I'm understanding you correctly, you're looking for a Knot in the smooth silk satin (like the one on Net a Porter). What you do NOT want is the Knot that is made of textured silk faille (like the Ametiste Stretch Knot in silk faille shown on the BV website). Did I understand you correctly?
If so, the only suggestion I could make is to telephone around to see what is available, and specify that you want smooth silk satin (not textured silk), and ask for your color choices. The Knots never go on sale, so it's possible that a boutique might still have one in an older white, pink, or camel color (also note that not everything they sell is on the website--there is a LOT more out there).
There have been several white/off white shades and pinks recently in the classic silk satin, so you can check the Color Reference thread for ideas. If you're in the US, you could either try calling the e-commerce personal shopper, or any BV boutique. They have access to the inventory of all BV boutiques in the US only.
Or, you could try department stores that sell BV. The BV boutiques do not have any inventory information regarding what is available at Neiman Marcus, Saks, etc., so you would have to call those stores.
A few years ago, I was looking for a silk satin Knot in the antilope color, which was from a past season. The BV boutiques were completely sold out of that color--it does happen that the popular colors sell quickly. I ended up finding it at Neiman Marcus--they had a different color name for it, but it turned out to be the one I wanted.
Good luck on your search. Maybe you'll get lucky and someone will be able to point to one right away. I haven't seen one lately in the colors you're looking for, but maybe someone else has.