Hi, I'm new here so I'm not sure how old the post is, but I thought I might try to answer some of your questions by looking at the photo. I have a lot of experience with Go equipment.
Shell and slate stones, on the thinner side, maybe 8.4mm? Going from memory here, I haven't figured out how to see the original picture right now
The staining is from finger oil, happens to all old shell, This is pretty light, my 30 year old set is about that color, but was heavy use. I don't mind it and would let it go because shell can be fragile. Wash hands before use, and a soft cloth in the bowl is easy and much more than most would do to take care of the stones, more staining would take decades of heavy use. If the grain appears light and straight, (it seemed so with my poor eyesight) it is higher grade, possibly snow, hard to tell from the photo. Stones of this age are generally made from Mexican clam, if it was Japanese clam the price would be through the roof, but not likely to be that old. You can probably buy these new for a couple hundred dollars, again depending on grade which can easily double the price, although many people discount older used equipment since the new can be purchased for not much more, it has to be someone who appreciates antiques (I'm thinking of the term 'sabushi', an old thing well used and loved)
Bowls look almost certainly chestnut, made in Japan(the whole set clearly from Japan), go for about $100 or a little more new. They are a good match for the stones I think because the stones are thin, bigger bowls would be aesthetically a little strange.
The board is really interesting to me. It appears to be of one piece, and not the right color for katsura and certainly not for shin-kaya, could that possibly be a one piece kaya (torreya nucifera) board? A piece that big would take a tree 500 years old, and they are protected now. But in the 70s not that uncommon to have even kaya for good equipment (that looks a very decent set, would not have been cheap even back then. The stones wouldn't be thicker because that would be strange with a table board). Those kaya boards go for thousands new, and one piece is pretty special because a) less warping, no splitting or mismatching and b) a piece that big they maybe could have done a floor board with it. It looks in good condition. If this was an 'ordinary' set, it's hard to believe they wouldn't use katsura (Japanese Judas tree, harder, darker) which was far more common and cheaper then.
Value is what someone will pay for something. The bowls and stones, maybe $200 or so, on the right venue, maybe more if someone appreciates antiques or if those stones are snow grade. Board would definitely need some close, clear pictures and description, for me to confirm if it's one piece good condition kaya, Might be hard to find a buyer, but I wouldn't sell it unless the price was pretty high. Very careful with it, kaya is a soft wood, you can't even write on it on a sheet of paper without potentially scratching the surface. It's easy to make a fabric cover (I did this once and I can't sew). It is also possible to be affected by long term direct sunlight, big changes in temperature or humidity, so caution in placement and storage advised.
You can use it all the time with a little bit of care, and save it for future generations, they only get better in my opinion. I recently gave what I believe is the oldest shell and slate stones in existence to a friend (17th century), told him to use them. The finger staining is heavy, and the shell is even indented where the fingers go. He wants to clean them, sigh. Think of it as an old painting, sure, you can hit it with oil or water or cleaners, but, ouch. The stones I gave my friend are not biconvex or regular like stones of the last hundred years. If your set is complete, that is great, 180 white, 180 or 181 black? I wouldn't worry about small chips in a couple, that happens too, and I think if you're selling this you should go with the antique nature, and try to identify if it's kaya or not (if you can take very good clear shots and send them to me, I can send them to a kaya board maker in Japan and ask for his expert opinion.) I have calipers and can match all grades of stone (I have examples of each grade and size) but may not be worth it for back and forth shipping of a few stones from UK to US for stones at this price point. If I was buying the set and it was kaya, I wouldn't care too much about the stones or bowls, just so it's a reasonable match and playable now, I would be placing the value on the board and would probably buy the set for $800 (bargain for me). No kaya, maybe $350. Careful in packing, the corners and edges should be sharp and they are easy to dent, so it needs a huge box with no empty space and two layers of packing material (bubble wrap, then stabilizer/filler) in my opinion.
In terms of shipping, the stones and bowls should be packaged very securely and probably wouldn't be prohibitive in cost with some research (I used to get things like this from Japan by air with no customs from DHL or something for only tens of dollars, I have no idea how they did it so inexpensively, but apparently it's possible. The board is tricky because of dimensional weight, requires lots of packing so sending by air can be expensive, but if I'm right it's one piece kaya, it's worth it. Still had things like this shipped from Japan by air, price didn't go more than $100 as I recall, and never had a customs issue. When I shipped overseas from the US, I generally used USPS or UPS, but not by air because the price was so high. I'm not sure how to re-check this site, but I will try if I can help you. Best, Janice
Would like to add, traditional Japanese Go boards use no lacquer or stain, only a clear wax which is tediously rubbed on (I've done it, it was 20 hours for one board). I would wipe the equipment only with a soft cloth only, just in case not to make any noticeable effect that might affect value. The graining pattern on kaya can be strange, but the orangey color and odd graining, I've only seen on kaya. If it appears or feels shiny or glossy in any way, then someone has put a varnish or coat on it or it's some different wood that is a definite no for traditional Go equipment because any kind of glare can be unpleasant on the eyes. You can generally tell by playing a stone, kaya in particular produces a soft sound and a gentle feel, and the stone will not slip around (a beginner admittedly may not know how to place a Go stone the traditional way, or know what to be listening/looking for). The shell could maybe be cleaned, not just wiped (I have not cleaned, just wiped shell, although I've restored many Go sets) and these kinds of stones are not terrifically expensive new, but that would be appearance only to raise the price a bit, finger oil is going on those stones, and that's what they look like after a while. It probably can't be Japanese clam because those were fished out a very long time ago (100 years), I have seen them, very hard to tell but the white has a pink component, if that makes sense, and it may be impossible to tell with finger oil staining, but those can go 100K so maybe not heavy use no wipe down after
If you are going to sell it, I would do it on a Go forum first if you can make some confirmation it's kaya. Ebay is fine if it isn't, do explain it's an antique but definitely playable, good condition, and the stones are not dirty, it is finger oil from decades of use, and the board is one piece, describe advantages.