Best of luck to your pup. We had this happen 6 weeks ago when our pup got hit by a car; it was on BA who also took the same stance as United has with you, traveler only.

Like others suggested, maybe you'll get a dog lover than can understand. Also if the medical bills are huge consider trying to fundraise, we used www.youcaring.com/littlelevi they don't charge any fees and we've raised over half of his $7000 plus medical bills.

PM me if you fundraise, even though I'm still paying my bills I'm happy to help another dog owner.