or to the transportation of pistols or revolvers as merchandise, or to any person transporting any pistol or revolver while contained in the package in which it was originally wrapped at the time of sale and while transporting the same from the place of sale to the purchaser's residence or place of business, or to any person removing such person's household goods or effects from one place to another, or to any person while transporting any such pistol or revolver from such person's place of residence or business to a place or individual where or by whom such pistol or revolver is to be repaired or while returning to such person's place of residence or business after the same has been repaired, or to any person transporting a pistol or revolver in or through the state for the purpose of taking part in competitions, taking part in formal pistol or revolver training, repairing such pistol or revolver or attending any meeting or exhibition of an organized collectors' group if such person is a bona fide resident of the United States and is permitted to possess and carry a pistol or revolver in the state or subdivision of the United States in which such person resides, or to any person transporting a pistol or revolver to and from a testing range at the request of the issuing authority, or to any person transporting an antique pistol or revolver, as defined in section 29-33. For the purposes of this subsection,
As I said, I'm NOT a lawyer and I've had no reason to examine this closely, but there's NO exception for transporting a firearm to the range in there.
CT used to allow you to purchase a pistol without a permit, and transport it between the point of purchase and your home without a carry permit. They also allowed you to transport it to a gunsmith without a permit for repair. It appears that they still allow you to do so for the people who purchased pistols in the past but who do not have permits. Current law does not allow you to purchase a pistol in CT without a permit (which of course doesn't apply to you because Federal law won't allow you to purchase a pistol out of state).
The point being, the existing law, which doesn't appear to have changed, does not allow you to transport a pistol anywhere other than to a shop, or to a competition, or training as defined above. And FOPA doesn't come into play.
CT is NOT a free state. I don't care if they call it "The Constitution State". I used to live there, I still summer there - but I'm a Georgia resident now - and the gun laws in CT are one of the reasons that I left.