Have you seen these websites on packing the Swift?
Here is an older steel swift being packed into a 29" Samsonite Oyster.
http://www.phred.org/~alex/bikes/bf-vs-swift.html
Of course, here is the Xootr website on packing the bike into the 31" case.
http://www.xootr.com/xootr/swift/packing.shtml