I think clic-gear makes a "carry case" type of thing for their carts to protect your car trunk or something. No reason why it wouldn't work as a travel bag. But why would you want to add to the misery of air travel by taking an extra thing you have to lug around. If you want to walk on a course that allows it, you can rent. If they don't, then you'll be riding anyway. You could also just buy a cheap cart at your destination for the week or whatever and it would be cheaper than the baggage fee for the cart.
If you absolutely need your cart, you could ship it wherever you're going.