I sometimes put my (Nicer ) paddle in a hard shell gun case . It gets
some curiosity at the airport but that is all. I tie my paddles to the
top of the car when traveling and I can't put it in the car.
Note... Don't use bungies on paddles on the roof. I lost two paddles at
high speed and had to hike back to recover them. They were scratched
but otherwise no worse for the increadible journey i saw in my rear
view. I was luckey that traffic was very light.

I try to keep the paddles inside the car as they can vanish.