Right, and congress must vote from the available candidates, and couldn't pick anyone? Obviously none of this will happen, but it's fun to think about I think.

If you've seen the tv show Veep, they play around with a similar scenario, but one where the electoral college is tied. In the show, congress also ends up in a tie, and so elects the vice president into office instead. As far as I understand the rules though, the vice president would only be elevated to president in case congress can't resolve the matter before inauguration day, and will only hold the office until congress resolves the tie and picks a president.

I probably have most of this wrong, but I think it's very interesting to hypothesize about the possibilities, no matter how remote. I obviously don't think any of this would happen, but it's fun to think about.