AHC: FDR loses in the 1936 elections

The 1936 election, in terms of the electoral votes, is the single greatest landslide victory that isn't unanimous like Washington or Monroe. Franklin Roosevelt's opponent Alf Landon got 8 electoral votes, not even 2% compared to FDR. But could the Republicans have won against FDR? That's what I'm wondering. The earliest POD is March 4 1935, at least 2 years exactly since he took office. Your challenge is to find a Republican candidate who could defeat Franklin Roosevelt in the 1936 election.
 
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