Even if it is a tie, it wont last too long. If its a tie, then Trump wins. That is unless Paul Ryan tries to do something stupid, which is not out of the question, but the most likely scenario is that the House puts Trump in and it's over. If the House votes for someone else, then the fireworks will begin.
I disagree with you on this. If it's not resolved on Tuesday i think it will get nasty.
It won't go to the house. It will go to recount with allegations of voter fraud and rigged elections.