Getting a new bike would obviously be expensive and I am sure you have no interest in that. I am not suggesting that you do so, but I just wanted to let you know that Zinn is also tall and he makes frames that can be packed into an S&S case.
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I have no connection to Zinn other than reading many of his articles.
As far as I know, Delta, United and American are not charging oversize fees for bikes, but each airline has a max size for a bike box. I have only flown with a bike in an S&S case, so I can't advise further.
Have a great time in Europe.