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This is my solution. I have a case from them that has proven to be quite trustworthy to check, (butterfly clasps that keep it from coming open but let TSA violate my privacy) underweight so as to check for the normal crazy price, (of free on Southwest!! Yay!!) and is cut away on the inside for a gig bag, so once I get to my destination I can leave the beast in the hotel and shoulder from there. And it wheels nicely.
It is a little bit pricey, but it has been splendid. I had a really scary situation flying into LAX where I very nearly had an indispensable favorite instrument destroyed in a "Gator" style case. It was a bad bad situation, and I don't blame anyone, but it was certainly enough to make me fly with something a little more serious now. Or ship things ahead of time when appropriate.