So I spoke to my friend in Sweden who shipped his new WRX (New at the time a couple years back). He wrote this:
"Try shipoverseas.com. There was an agent there that fixed everything
The shipping line it was on was Wallenius Wilhelmsen. I don't know if you
can go direct to them or not, but it is worth a try. I also believe they are
the major transporter for both Volvo and Saab.
FYI, my car was a RoRo, for Roll on Roll off. It is cheaper, but the car is
not in a container so there is a little extra risk for damage. However, most
cars ship by RoRo, so I wouldn't be worried about it."
Now, I'm thinking the RoRo concept may not be what your looking for. I can picture the attendant sideways inside a big ship with your NSX. Not for nothing but in my younger days, I'd probably have done that too. You may want to go with the container.
That's all I got. Good luck.