Trump does not seem like the type to have a VP doing essentially nothing. Seems like he will pick someone who can actively help in his plan to fix this country. JMO
The President has hundreds of jobs to fill. The VP is not exactly necessary for anything other than helping the President get elected. It would help if he understood the Senate. And he could be trusted to give speeches without putting his foot in his mouth. The reality is the President has no authority over the VP and vice-a-versa.