There's a couple problems with your story. First, the top three finishers for President go to the House, and the top two VPs go to the Senate. Second of all, there are 50 states, not 100.
Of course, you're right, how could I miss that?
Thank you for pointing this out.
First, the easy part.
The Senate, 52 Republicans, 48 Democrats, choose from the top two finishers for Vice President, du Pont and Kirkpatrick. On a straight party line vote, the Senate elects du Pont as Vice President by a vote of 52 du Pont to 48 Kirkpatrick.
Now, for the not so easy part.
The House, 221 Democrats, 214 Republicans, choose from the top three finishers for President, Dole, Brokaw, and Mondale. The Democrats control 26 state delegations, and the Republicans control 24 state delegations. In order to keep Mondale out of the Oval Office, the Republicans strike a deal with some conservative southern Democrats who do not want Mondale as President. The Republicans will support Brokaw for President in return. Two southern state delegations, controlled by conservative Democrats, vote with the Republicans to elect Brokaw as President, ending up with a vote of 26 for Brokaw and 24 for Mondale.
(Unrealistic, I know, but this a "What-IF," and the point of the story, at least my conclusion, was to have Independent Tom Brokaw elected President.)