I don't see ties as being common enough that breaking them with runoffs is a negative proposition, though it might be interesting if they were broken by a Senate vote.
While they would appear to be infrequent (to say the least), imagine what a run-off in the presidential election would mean. Could you really come close to matching the turnout from the original election? It was be a disaster, with people lobbying for vote changing. It just allows for too many problems.
I say we look to implement the tie-break by region first, that way it doesn't fall onto anyone's shoulders directly, while also providing a provision that if that results in a rare tie, it goes to the Senate.
I would be happy to work on comprehensive voting reform in the next Senate. I headed the initiative to do that in the Mideast as Speaker.