How would they ever find out? Really?
One path, the cop is all in your business looking through your vehicle and at your weapon and you are completely at the mercy of the cop.
The second path, a little white lie, get a warning for a tail light, and everyone continues on their merry way.
I guess my thoughts are, don't introduce an opportunity for scrutiny as to how you are transporting a weapon by avoiding it all together. If he feels he must press on and search the vehicle, then he needs justifiable cause. If he doesn't have cause, and as long as you don't reek of drugs or alcohol, legally it's difficult to establish cause.