Blue:
Like the other people mentioned, its more about reputation and quality then the price....TRUST ME ON THIS... if they even ding your nsx tiny bit, you could be paying double what you thought you had saved by going cheaper.
Virtually most of the shippers (with exception of a very few) actually contract drivers for delivery, so its essential that you deal with a fair, knowledgeable, and quality person.
I have heard of horrible transportation stories and i had one of mine too with a "so-called" reputable shippping company.
Intercity is great, i have heard nothing but good news from them, and a guy purchased a car from me, and contracted them, and they were very good when they picked up the car. They are on the expensive side though.
I have been dealing with AFT Logistics, and its family owned and the lady is super nice. They have transported 3 of my cars, and they got here in perfect shape. Not to mention, 2 of cars got here in about a day and half, 1200 miles away. Amazing time. Best of all, her rates were much much less than most of the other companies i contacted, and there was no charge for the quick delivery either.....I was amazed by their quality and service.
I am not affiliated with the company, but after shipping 3 cars, for alot less than the competition and getting your car in perfect shape home in a day and half, I have to at least mention them, because i am very thankful.
If you need more information, and you want me to contact them for you, feel free to pm me.