“The GOP is a private organization. They can pull names from a hat if they want.”
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Here’s what the GOP national rules say about how the party (including the state and local arms thereof) are supposed to be run:
“PREAMBLE
...It is the intent and purpose of these rules to encourage and allow the broadest possible participation of all voters in Republican Party activities at all levels and to assure that the Republican Party is open and accessible to all Americans.”
So, pulling names from a hat comports with these lofty aims?
My point is that it is completely up to any political party to decide how they want to select their nominee. The minor parties don't even have primaries or caucuses - at most they might have a convention. The GOP has decided to allow the state parties a lot of freedom to determine how to select their delegates and whether or not those delegates will be bound to a candidate. That may or may not involve a presidential preference vote like a primary or a straw poll at the caucus.