Your local fabricator will be able to show you different soapstones that are available from local suppliers. Soapstone names can be rather pointless since they are not consistent across suppliers. So even if you got the name, you'd still need to look at everything in order to find one that had the look you want. I recommend finding a fabricator who will let you custom purchase a slab or two after visiting different suppliers to find one you like.
Canadian soapstone, mined in Quebec, is generally lighter in colour than most soapstone seen in N America, which is nowadays mined mostly in Brazil. The Canadian soapstone is a little softer to the touch, but wears exceedingly well, and can be oiled for a darker colour.
@ diamondhill - forgot to add, the soapstone in this image does look very like Canadian soapstone, which is much greyer than the Brazilian stuff, which is more dark green. They're comparable for cost, go figure.
Ours too is honed I believe and I did not oil it. I use Dawn dishwashing liquid to clean when there are splotches of olive oil or whatever. I love Belgian bluestone and I feel like I have that mood with this less veiny soapstone. Mark Landry at Landmark Services (Best of Houzz 2012?) knows what finish they used, but this soaptone is exceedingly low maintenance and easy to keep looking clean (ie. no rings or watermarks). I also hasn't not chipped due to softness even though it was 2 on the hardness scale.
Canadian Soapstone™