We kept our coping during our renovation, but it was brick, not concrete. Sorry, I don't know if there would be a different recommendation because of the material. We were able to choose a tile and Pebble Tec that looked good with the existing brick.

I love the pattern you've chosen. The white does look a bit creamy, but being outside, most white becomes off white (or off white/pewter) eventually, even with regular cleaning so they might work. It's hard to tell with the photos if it will blend or not. I like the idea of a white coping, simply because it will frame your design better and better delineate the edge of the area. If the slightly creamy white blends, I'd go for it. If it looks "dirty" compared to your white/pewter you may be best going with more white/pewter for coping.

We built a pool in Brooklyn about 7 years ago and the patio material was Travertine set in mortar, not dry laid. It is a honed/polished finish that does not have the cracks and fissures on the standard material. The coping was also travertine in 6' lengths 14" wide 2" thick. This too is honed. The color is a creamy light tan. We installed a SWG system and also an ozone system which we updated in the last 3 months. The newer ozone system will nearly eliminate the need for chlorine. This pool is 12'x30' about 14-15,0000 gallons. We have used quartzite before and it's a nice material even in direct sun. The color variations are nice. Bluestone will get very hot in the direct sun, Most dark colors tend to hold the heat as well. We have used limestone extensively and prefer it in a sunny location. The color ranges are nice and compliments other colors and materials, and it does not get hot in the sun. Tennessee crab stone is a nice looking stone but it does flake as it is soft. Feel free to check our Houzz site for examples of our work. There are many pools with limestone patios and coping.

I am not a pool expert but can you have a custom concrete edge made? I am in the decorative concrete business (metallic epoxies) and have been in awe of a concrete artisan out of LA - maybe he can connect you- this guys work blows me away https://concreterevolutionllc.com/ "Stamps have long been a popular method for giving concrete an authentic wood-grained look. But a newer method, developed by Concrete Revolution LLC, New Iberia, La., adds even more realism to the process by allowing the installer to be in complete control of the wood-grain design and texture "