I don't want to burst your bubble here, but let's think about this rationally.
First, Rand has to win the nomination. If we are able to make this happen, the party will suffer a severe shake-up. It will be dramatic. The make-up of both parties will be permanently altered. As much as you may not like it, he may have to pick someone who can make people comfortable. That means someone with executive experience. Someone who the rest of the party feels comfortable with. (See Reagan/Bush)
Now, certainly that doesn't mean he'll have to pick someone like Bush or Christie. There are other governors that will work. McDaniels? Kasich? Ugh. Just prepare yourself for it to be a bland pick.
Anyway, let's focus on the primary first. Otherwise, this discussion is entirely moot.