2016 Goes to the House

[Alben Barkley]

The 2017 House GOP caucus was not nearly as pro-Trump as the 2021 one, so I'd say they'd try to go for Pence instead.

The problem is they can't. They are Constitutionally bound to pick one of the presidential candidates with the three most electoral votes. The Senate elects Vice President separately.

There's a nonzero chance of a McMullin/Pence administration in this scenario.

But probably they would still elect Trump to avoid pissing off their voters.