I'm from Mass, I've driven multiple times from Mass through NY and Illinois out west with items that may not have been "Kosher" in either state. Keep it locked, separated from firearms and ammo. In a roof box or in the back of the truck separated from the driver compartment, and out of sight out of mind in another duffle bag.
The reality is most cops have better things to do than get a burr up their ass about some dude going on a hunting trip if you get stopped. And despite these states being really blue, a lot of the LE that I've run across are pretty "Red" normal dudes.
You're more likely to get wiped out in a major traffic accident or killed by a random pack of wolves...
If it really bugs you, ship it to/from an FFL.