Even if the electoral college were tied, the Senate would have nothing to say about the selection of the POTUS - and the House would vote, not as individual congressmen, but by state - one vote per state.But in no case could the House vote for anyone who did not place at least third in the electoral college.
What you would have to argue for first is for at least one - preferably many, in order to prevent either primary party candidate from obtaining a majority - Electors to vote for your mythical “fusion choice.” Which means that you have to ‘fess up as to who you think this mythical creature is, by name.
You can’t do it; any name you put out as a “fusion candidate” would be laughed at. By just about everyone - possibly even by the person you named.
The other process of course is to accept the college results unless there are proven frauds in the voting of the state electors in which case the electors of a given state can be disallowed. Then the president elect can be immediately be put up for impeachment.
I’m not saying it would be pretty...but our nation is now at an impasse with our enemies threatening nuclear war and Islamic terrorists threatening our internal security. Our nation is a state of moral disarray with no hope that God will favor our cause. So what do we do?