Michelle Obama would make a great choice, to be honest. She has a clean record and as a First Lady you can definitely tell she's already been vetted because the Republicans would've hungered to unearth a scandal of hers like they did countless times with Hillary.
She's smart. She's educated. She's classy. She's powerful. She's a woman. She's a minority. And she'll guarantee that Obama coalition. And she's spent more time in the White House than Trump and his VP combined. She understands the burdens of the presidency just like Hillary.
And the puns would be such a kii too
"First Ladies in the White House"