I'm looking for a way to inconspicuously fly an AI AT. I currently have a Pelican 44" that holds it nicely with the stock folded, but ideally I'd like to put the hard case in something more mundane, at least something that doesn't scream "rifle." Something like this:

https://www.overstock.com/Luggage-Bags/Coleman-Mammoth-44-inch-Drop-bottom-Rolling-Duffel-Bag/5693126/product.html#reviews

What do you use?

Corollary: Anyone have experience with Visa Signature or Visa Infinite baggage insurance? They seem to cover the difference between what the airlines give you and your claimed value, but I don't know how good the claims process.