Writing for the Washington Times, former governor Scott Walker argues Trump’s next VP pick should be a governor. Governors do have executive experience, a plus. There are a couple of women governors on his “possibles” list - Huckabee Sanders and Noem.
However Trump’s last VP pick - Mike Pence - was a former successful GOP governor. Trump didn’t end up being very happy with Pence so I’m not sure how that suggestion will be received. Governors are accustomed to a degree of independence, while I expect Trump values loyalty.