All of the 340R's currently in the US can not legally be driven on the roads, no matter what an individual state DMV or insurance company is willing to do. THese cars were imported as track only cars, and unless exported to another country they will always and forever be track only cars in the US.
You can not import a 340R under the specialty vehicle regulations as it (and every other pre-federal Elise and variations) have already been denied by NHTSA.
This is the only way (that I am aware of) that a 340 can be legally driven on the road in this country:
Wait until the 340R is 25 years old (from date of manufacture). Buy one that has not already been imported to the US. Import it to the US as a road car (NHTSA doesn't care about cars 25 years or older and EPA's regulations are for a shorter period of time).
From NHTSA web site:
8. Importing a vehicle that is at least 25 years old.
A motor vehicle that is at least 25 years old can be lawfully imported into the U.S. without regard to whether it complies with all applicable FMVSS. Such a vehicle would be entered under Box 1 on the HS-7 Declaration form to be given to Customs at the time of importation. If you wish to see that form, you may download a copy from our website at
Vehicle Importation Regulations. You should note that the 25 year period runs from the date of the vehicle's manufacture. If the date of manufacture is not identified on a label permanently affixed to the vehicle by its original manufacturer, to establish the age of the vehicle, you should have documentation available such as an invoice showing the date the vehicle was first sold or a registration document showing that the vehicle was registered at least 25 years ago. Absent such information, a statement from a recognized vehicle historical society identifying the age of the vehicle could be used.
Importation and Certification FAQ's Directory--All Vehicles
Theoretically, one of the current US cars could be exported, then re-imported when 25 years old and be legal.