Unless Ritchey has significantly redesigned the Breakaway, their case actually exceeds the airlines' 62" L+W+H limit for "standard luggage". That said, friends who own Breakaways have traveled with them and not been charged for oversized luggage. It all comes down to the check-in agent and how strict or relaxed they're feeling at the moment you approach them.

I have both an S&S BTC road bike and a Bike Friday with ETRTO 451 wheels (the largest of the mutually incompatible '20 inch' wheel sizes). The S&S case is right at the 62" limit and feels unwieldy. The BF fits into a regular Samsonite and performs well enough to use in centuries, cyclosportives and granfondos.