Tried it at Google ... Research is confusing, apparently some Nasco Cleveland OH pieces have an original foil label stating made in Japan. Also seen as N. S. Co It was an imitator of McCoy

Thanks, Casey. Your idea sounds very plausible. If the set is hand-cut, could it mean that it's quite old, like pre-WWII? There was plenty of Czechoslovakian Bohemian glass sold in store in Moscow, Russia, in the 60's-80's when I lived there. But all of it was factory made. Ruby cut to clear glass pieces were fairly common, but I can't recall seeing anything similar to this set. My search for vintage Bohemian glass through a Russian search engine didn't bring anything similar either.

It's Japanese Imari ware in the Arita fan type of pattern. The Arita fan is a style of a pattern not a cut and dried pattern. From the back appears to be late 19th century, possibly very early 20th. Very nice piece!! There are newer pieces out there but you can tell by the back that yours is old. https://www.google.com/search?q=Imari+plates&rlz=1C1PQHB_enUS634US642&sxsrf=ACYBGNS6P2I-fdvi8r-jU1pW8LGOySKY_A:1578034437964&source=lnms&tbm=isch&sa=X&ved=2ahUKEwic2fiw7ObmAhUPH80KHcwKD7MQ_AUoAnoECA0QBA&biw=1280&bih=610

As someone who moved into a home with a bathroom with stark white countertops (thankfully not in our primary bath), I think they aren't used as often because they show every smudge of toothpaste, hair clippings, mascara, etc - and your eye goes right to the mess. It's enough to drive you bonkers. At least with a little veining or movement, it distracts from the normal everyday stuff and prevents you from wiping the countertop multiple times each day. I've put in marble countertops in otherwise neutral or B&W baths before - it's actually a pretty traditional/classic look. I do like where you're going with putting some wood in there - it will add some nice warmth. Also, I think some places (although not Pottery Barn perhaps) allow you to order the vanity with no top. If you find one that is otherwise perfect, check the item options to see if that's a possibility. I'm very anti the afterthought 4 inch backsplash piece that comes with most vanities (I prefer to tile behind the sink), so I have taken that route in the past. That said, I would second the suggestion to consult with a custom cabinet maker (especially if the only thing stopping you is sample sizes - I'd imagine they could give you an entire drawer front if you really needed it!). The price is often negligible, and it provides you with more control over the numerous options that are clearly very important to you (I say that in solidarity as someone who is known for refusal to accept limited options!). The other benefit of going custom is sizing - a custom cabinet maker can build a unit to any width, so you can maximize the storage and counters to your space. They could also give you the two drawer/open shelf combination you're describing (although keep in mind those drawers may be limited to allow for plumbing for the sink). Another random source is Etsy - there are a few sellers who make vanities out of repurposed cabinets that might appeal to you. Check out CuratedHavenDesigns (I've had their "ornate bathroom vanity" listing saved for a while now - if only I had somewhere to put it).