His motivation wasn't 'to make the world show no evidence of the flood' -- otherwise, He would not have documented it in His Diary for us to read.
Again, He cleaned up the earth for safety & sanitary reasons, clearing the way for [quick] repopulation.
Given that there are records of other large events that caused a great deal of destruction (as well as many massive floods), I don't see why remove every shred of evidence was required for "safety & sanitary reasons" when he's never done it before or since.
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