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alternatehistory.com
I was toying around with this a bit today - the ground rules are you keep things in chronological order and alphabetical order AND you try and keep the TL as close to OTL as possible. The most I've been able to do is four or so at a time, since as:
William B. Allison (R-IA) [1901]
Albert Beveridge (R-IN) [1901-1909]
George Cortelyou (R-NY) [1909-1913]
John W. Davis (D-WV) [1913-1921]
John Anderson (R-IL) [1974-1977]
Birch Bayh (D-IN) [1977-1981]
Phil Crane (R-IL) [1981-1989]
Bob Dole (R-KS) [1989-1993]
Can anybody get more than four in a row? You don't necessarily have to start with A...