The only do-over anyone allowed by state law is the one scheduled for 2014.
209.07 Subd. 2 sets the terms for an election to be declared invalid: " [A] serious and material defect in the ballots used changed the outcome of the election for the contested office." That's it. That's the only reason.
Nowhere did the legislature decide that a "statistical tie" (whatever that means) is a reason for a do-over.