If you are under the gun, Fed-Ex will probably be your best bet. I have used them before with great results. I called them and had my car the next day.
Exotic has transported my car about 4 times and they are excellent.
PlyCar also does an excellent job and has transported my car as well over the years.
http://customcritical.fedex.com
http://www.exoticcartransport.com
http://www.plycargroup.com