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This plan is only slightly crazy. I did the same thing in February 2003 when they extended the elite qualification period. I flew to Europe every weekend for four weekends in a row. Two of the four roundtrips were upgraded with SWUs, but even with that, I was a tired puppy by the end of the third week.
It can be done, but you should expect to be really cranky by the end of your odyssey. It helps if you can spend at least a day at your destination(s) to recover and see the sights. Two or more days are better.