Let's assume the worse, and Trump has to go......
He resigns.
Pence becomes president, which seems ok.
Who would you guess for vice?

Note: I don't want to get in a pizzing match about Trump, etc, I just thought this could be fun.

I would guess a John kasich, maybe?

Alben William Barkley became VP when FDR died.
Senate Majority Leader.

The new President - Pence - can appoint anyone he chooses for VP. The appointment is subject to congressional approval, much like a cabinet appointment. I've got no clue who Pence might pick though.

https://en.wikipedia.org/wiki/United_States_presidential_line_of_succession

1      Vice President      Mike Pence (R)
2      Speaker of the House of Representatives      Paul Ryan (R)
3      President pro tempore of the Senate      Orrin Hatch (R)
4      Secretary of State      Rex Tillerson (R)
5      Secretary of the Treasury      Steven Mnuchin (R)
6      Secretary of Defense      James Mattis (I)
7      Attorney General      Jeff Sessions (R)
–      Secretary of the Interior      Kevin Haugrud
8      Secretary of Agriculture      Michael Scuse (D)[a]
–      Secretary of Commerce      Kenneth E. Hyatt
9      Secretary of Labor      Ed Hugler[a]
10      Secretary of Health and Human Services      Tom Price (R)
–      Secretary of Housing and Urban Development      Craig Clemmensen
–      Secretary of Transportation      Elaine Chao (R)[b]
–      Secretary of Energy      Grace Bochenek
11      Secretary of Education      Betsy DeVos (R)
12      Secretary of Veterans Affairs      David Shulkin (I)
13      Secretary of Homeland Security      John F. Kelly (I)

This listing assumes that only acting officers whose prior appointment required
Senate confirmation are eligible for the line of succession. See Acting officers below.
Not a natural-born citizen (acquired U.S. citizenship by naturalization)
and thus ineligible for the Presidency.


--Steve