I don't think AA will waive the "minimum 4 AA segment" requirement. It doesn't matter though, as this is easy to achieve. Just do one of your trips via the US, e.g. YYC-ORD-LHR-ORD-YYC and that'll get you the 4 segments in one trip.
Do it on a Net sAAver fare and you'll get plenty of bang for the buck.
Better yet, go for a Gold or Plat challenge and the "minimum 4 AA segment" rule doesn't apply for the challenge. Just get 4 AA segments to requalify for the next year. This is your shortest route to elite status on AA.
FewMiles..
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