Well, I ended up ordering a
Bravado Body Silk Seamless Nursing Bra. There's a lot to recommend it. It is very, very comfortable; one of the most comfortable bras I've ever had. It gives good support, with the caveats that a) it's comfortable, b) it's sans wire and c) I'm currently sized 36 DD or E, and that pretty much means that I'm only going to get a certain amount of "lift" without resorting to surgery. It gives an almost totally smooth finish under t shirts. My, uh, cups do not "runneth over" as they tend to in other nursing bras. Also, the bra is designed to adjust to fit a wide range of sizes, which I think makes it a great bra for immediate post partum, as it will adjust as your breasts grow and then shrink, and as you lose baby weight.
The two things I don't like about it are that the removable cup inserts aren't the full size of the cups, so I think could be seen under a really tight or thin shirt (but they're removable and designed to hide nursing pads so you don't have that weird boob circle thing, so I can live with it); and that it still seems to be giving me something of a uniboob. DH suggested that the uniboob is not the fault of the bras, but my current cup size, which may be true.
All in all, I am happy with it for day to day use. I don't know if you can buy it at the Nursing Station or not, I ordered it online.