RE: “Experience” in what?
Short answer: Not governing but legislating.
Pence has been in Congress for 10 years and has been a member of the Committee on Foreign Affairs for a long time.
In 2008, he was elected by his GOP colleagues to become the Republican Conference Chairman, the third-highest-ranking Republican leadership position.
He represented a “district”, not a State. “Legislating” does not give you experience in managing, delegating, and making executive decisions that have impact and consequences that make you individually responsible - and provide a track-record from which to judge your competence. Casting a “vote” is the highlight of your responsibility in the House and Senate.