But it's not a simple vote, right? Each state gets 1 vote, not 1 per representative. A numerical advantage in representatives might not matter then. For example in states like my own state of NJ its obvious the result will be a vote for the democrat. And in Alabama you'll get a vote for the Republican. But in states where there are a more even mix of parties could end up voting democrat. Also some states have very few representatives but since all states get a single vote, they get a much higher influence on the outcome than usual. Think Maine, for example, which has only two congressional districts; in a simple vote they are 2 votes 535 but in this scenario they are 1 vote out of 50.
I haven't done the analysis to see how many such states exist but if it's enough the vote in congress could still go to Obama.
In the House, for the vote for President, each state would have only one vote, so the individual delegations would have to decide how they would vote. And the vote would keep going until some candiate got twenty six votes.
In the senate, for the vote for Vice-President, each senator would have a vote, and since there would be only two candidates to choose from (the top two candidates reported to the congress by the electoral college), the vote in the senate would likely be quick.