In FL if you dont have a CCW permit the gun needs to be in its case out of reach. It cant be under the seat or in the glove box. Also must be unloaded. Not sure what the laws in NJ are. You could drive with it to the range. If you got pulled it might not be a bad idea to disclose to the officer that you have a firearm in the car and your purpose for having it. It will make him feel better knowing its there. Also the fact that you disclose it gives gives him more confidence in you