Interesting. What makes you think there wouldn't be some pretty slimy dealmaking in the rooms of the House of Reps, if your scenario ensues? And I cannot recal, but does the Constitution require reps voting for the tied candidates, or can they elect anyone?
They must choose between the top two electoral vote getters, each state gets one vote (California = Wyoming).
Interestingly, the Senate chooses the VP from among the top three EV getters, and each Senator gets one vote.
This was done, I presume, so that if the House deadlocked there would always be a VP-elect to serve as President, since the Senate by definition cannot have a three-way tie if each Senator votes.
By the way, Jimmy and Tommy expected this process would be used frequently, and in fact that's how TJ was elected in 1800.