Congrats on your purchase. I just bought my NSX in Phoenix and had it shipped to San Francisco last month. I got quotes from about six different carriers and ultimately went with Intercity Lines.
I spent several days researching the service records of all the carriers, including reading Yelp reviews, forum posts (all across the web, not just Prime), and BBB complaints. At the end of the day, Intercity had the least amount of serious complaints by a fairly large margin.
No carrier is perfect. They've all had their share of dissatisfied customers, including Intercity. But Intercity definitely had the fewest complaints (that I could find), and plenty of glowing recommendations. On top of that, they came in with the lowest price.
As for my experience with Intercity, I have absolutely no complaints. Initially, they said it would take 2-3 weeks to pick up the car because they didn't have any trucks in the area, but a week later they were able to pick it up, and it arrived within a few days. The car was delivered in perfect shape and the driver kept in touch with me after pickup and a day before delivery.
I had a great experience with Intercity. Good luck and enjoy your NSX!