@webbdawg99 hopefully that won't happen again, but your going to have to use the airlines sometime. I have to travel a lot with my ski and I actually try to leave as much air in the tube side to side as possible. I think I told you about my trip to the Colorado Big Dawg a few years back. My tube was crushed much worse than your pics and I was sure my Warp 8 was destroyed. I think because I didn't have it wrapped and packed tight with so much padding it was fine and is still skiable today.
All I put on my ski is the Eagle ski sock with fin protector and drop it in the tube. I put my tool bag in the bottom handle, vest and gloves. I would say I fly with it on average about 20 times per year and have been lucky to never had one broken, but between Bailey and I we have had a few crushed tubes. May just be luck.
Since we're dropping airline stories, I did have one stolen out of the bag once. My KD7000 was taken right out of the bag. They left a brand new accuski system, dry suit etc. The airline paid me for the ski and I used that money to buy one of the 1st 9100's from some new company at the time with the really light skis. (The equipment in this story shows my age) two months later they caught the guy trying to sneak the ski out of the Philadelphia airport and I ended up getting the KD7000 back too.